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Finding the Fourth Proportional to 16,507.80, 22,769.07 and 10,134.72

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Solution

The fourth proportional to 16,507.80, 22,769.07 and 10,134.72 is: 13,978.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,507.80 : 22,769.07 = 10,134.72 : x
  2. Step 2: Convert to fraction form
    16,507.80/22,769.07 = 10,134.72/x
  3. Step 3: Cross multiply
    16,507.80x = 22,769.07 × 10,134.72
  4. Step 4: Simplify right side
    16,507.80x = 230,758,149.11
  5. Step 5: Solve for x
    x = 230,758,149.11/16,507.80
  6. Step 6: Final answer
    x = 13,978.73

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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.