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Finding the Fourth Proportional to 15,965.72, 23,939.18 and 6,105.72

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Solution

The fourth proportional to 15,965.72, 23,939.18 and 6,105.72 is: 9,154.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,965.72 : 23,939.18 = 6,105.72 : x
  2. Step 2: Convert to fraction form
    15,965.72/23,939.18 = 6,105.72/x
  3. Step 3: Cross multiply
    15,965.72x = 23,939.18 × 6,105.72
  4. Step 4: Simplify right side
    15,965.72x = 146,165,930.11
  5. Step 5: Solve for x
    x = 146,165,930.11/15,965.72
  6. Step 6: Final answer
    x = 9,154.99

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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.