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Finding the Fourth Proportional to 16,744.86, 23,106.87 and 10,031.04

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Solution

The fourth proportional to 16,744.86, 23,106.87 and 10,031.04 is: 13,842.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,744.86 : 23,106.87 = 10,031.04 : x
  2. Step 2: Convert to fraction form
    16,744.86/23,106.87 = 10,031.04/x
  3. Step 3: Cross multiply
    16,744.86x = 23,106.87 × 10,031.04
  4. Step 4: Simplify right side
    16,744.86x = 231,785,937.24
  5. Step 5: Solve for x
    x = 231,785,937.24/16,744.86
  6. Step 6: Final answer
    x = 13,842.21

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