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Finding the Fourth Proportional to 16,507.56, 24,758.10 and 6,120.12

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Solution

The fourth proportional to 16,507.56, 24,758.10 and 6,120.12 is: 9,178.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,507.56 : 24,758.10 = 6,120.12 : x
  2. Step 2: Convert to fraction form
    16,507.56/24,758.10 = 6,120.12/x
  3. Step 3: Cross multiply
    16,507.56x = 24,758.10 × 6,120.12
  4. Step 4: Simplify right side
    16,507.56x = 151,522,542.97
  5. Step 5: Solve for x
    x = 151,522,542.97/16,507.56
  6. Step 6: Final answer
    x = 9,178.98

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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.