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Finding the Fourth Proportional to 16,469.10, 24,641.91 and 9,781.11

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Solution

The fourth proportional to 16,469.10, 24,641.91 and 9,781.11 is: 14,635.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,469.10 : 24,641.91 = 9,781.11 : x
  2. Step 2: Convert to fraction form
    16,469.10/24,641.91 = 9,781.11/x
  3. Step 3: Cross multiply
    16,469.10x = 24,641.91 × 9,781.11
  4. Step 4: Simplify right side
    16,469.10x = 241,025,232.32
  5. Step 5: Solve for x
    x = 241,025,232.32/16,469.10
  6. Step 6: Final answer
    x = 14,635.00

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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.