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Finding the Fourth Proportional to 16,490.13, 24,745.92 and 7,139.28

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Solution

The fourth proportional to 16,490.13, 24,745.92 and 7,139.28 is: 10,713.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,490.13 : 24,745.92 = 7,139.28 : x
  2. Step 2: Convert to fraction form
    16,490.13/24,745.92 = 7,139.28/x
  3. Step 3: Cross multiply
    16,490.13x = 24,745.92 × 7,139.28
  4. Step 4: Simplify right side
    16,490.13x = 176,668,051.74
  5. Step 5: Solve for x
    x = 176,668,051.74/16,490.13
  6. Step 6: Final answer
    x = 10,713.56

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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.