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Finding the Fourth Proportional to 16,361.64, 22,578.84 and 9,288

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Solution

The fourth proportional to 16,361.64, 22,578.84 and 9,288 is: 12,817.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,361.64 : 22,578.84 = 9,288 : x
  2. Step 2: Convert to fraction form
    16,361.64/22,578.84 = 9,288/x
  3. Step 3: Cross multiply
    16,361.64x = 22,578.84 × 9,288
  4. Step 4: Simplify right side
    16,361.64x = 209,712,265.92
  5. Step 5: Solve for x
    x = 209,712,265.92/16,361.64
  6. Step 6: Final answer
    x = 12,817.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.