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Finding the Fourth Proportional to 10,986,465.60, 16,446,520.80 and 9,659,361.60

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Solution

The fourth proportional to 10,986,465.60, 16,446,520.80 and 9,659,361.60 is: 14,459,872.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,986,465.60 : 16,446,520.80 = 9,659,361.60 : x
  2. Step 2: Convert to fraction form
    10,986,465.60/16,446,520.80 = 9,659,361.60/x
  3. Step 3: Cross multiply
    10,986,465.60x = 16,446,520.80 × 9,659,361.60
  4. Step 4: Simplify right side
    10,986,465.60x = 158,862,891,469,121.28
  5. Step 5: Solve for x
    x = 158,862,891,469,121.28/10,986,465.60
  6. Step 6: Final answer
    x = 14,459,872.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.