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Finding the Fourth Proportional to 16,489.13, 24,744.42 and 7,138.28

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Solution

The fourth proportional to 16,489.13, 24,744.42 and 7,138.28 is: 10,712.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,489.13 : 24,744.42 = 7,138.28 : x
  2. Step 2: Convert to fraction form
    16,489.13/24,744.42 = 7,138.28/x
  3. Step 3: Cross multiply
    16,489.13x = 24,744.42 × 7,138.28
  4. Step 4: Simplify right side
    16,489.13x = 176,632,598.40
  5. Step 5: Solve for x
    x = 176,632,598.40/16,489.13
  6. Step 6: Final answer
    x = 10,712.06

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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.