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Finding the Fourth Proportional to 16,446.40, 24,669.60 and 9,869.20

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Solution

The fourth proportional to 16,446.40, 24,669.60 and 9,869.20 is: 14,803.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,446.40 : 24,669.60 = 9,869.20 : x
  2. Step 2: Convert to fraction form
    16,446.40/24,669.60 = 9,869.20/x
  3. Step 3: Cross multiply
    16,446.40x = 24,669.60 × 9,869.20
  4. Step 4: Simplify right side
    16,446.40x = 243,469,216.32
  5. Step 5: Solve for x
    x = 243,469,216.32/16,446.40
  6. Step 6: Final answer
    x = 14,803.80

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1.5x scale

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.