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Finding the Fourth Proportional to 15,178.70, 20,949.96 and 9,864.28

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Solution

The fourth proportional to 15,178.70, 20,949.96 and 9,864.28 is: 13,614.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,178.70 : 20,949.96 = 9,864.28 : x
  2. Step 2: Convert to fraction form
    15,178.70/20,949.96 = 9,864.28/x
  3. Step 3: Cross multiply
    15,178.70x = 20,949.96 × 9,864.28
  4. Step 4: Simplify right side
    15,178.70x = 206,656,271.43
  5. Step 5: Solve for x
    x = 206,656,271.43/15,178.70
  6. Step 6: Final answer
    x = 13,614.89

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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.