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Finding the Fourth Proportional to 10,019.52, 14,945.76 and 9,178.56

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Solution

The fourth proportional to 10,019.52, 14,945.76 and 9,178.56 is: 13,691.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,019.52 : 14,945.76 = 9,178.56 : x
  2. Step 2: Convert to fraction form
    10,019.52/14,945.76 = 9,178.56/x
  3. Step 3: Cross multiply
    10,019.52x = 14,945.76 × 9,178.56
  4. Step 4: Simplify right side
    10,019.52x = 137,180,554.91
  5. Step 5: Solve for x
    x = 137,180,554.91/10,019.52
  6. Step 6: Final answer
    x = 13,691.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.