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Finding the Fourth Proportional to 16,512.86, 24,727.01 and 9,109.10

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Solution

The fourth proportional to 16,512.86, 24,727.01 and 9,109.10 is: 13,640.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,512.86 : 24,727.01 = 9,109.10 : x
  2. Step 2: Convert to fraction form
    16,512.86/24,727.01 = 9,109.10/x
  3. Step 3: Cross multiply
    16,512.86x = 24,727.01 × 9,109.10
  4. Step 4: Simplify right side
    16,512.86x = 225,240,823.06
  5. Step 5: Solve for x
    x = 225,240,823.06/16,512.86
  6. Step 6: Final answer
    x = 13,640.33

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