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Finding the Fourth Proportional to 21,117.70, 31,678.17 and 9,432.10

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Solution

The fourth proportional to 21,117.70, 31,678.17 and 9,432.10 is: 14,148.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,117.70 : 31,678.17 = 9,432.10 : x
  2. Step 2: Convert to fraction form
    21,117.70/31,678.17 = 9,432.10/x
  3. Step 3: Cross multiply
    21,117.70x = 31,678.17 × 9,432.10
  4. Step 4: Simplify right side
    21,117.70x = 298,791,667.26
  5. Step 5: Solve for x
    x = 298,791,667.26/21,117.70
  6. Step 6: Final answer
    x = 14,148.87

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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.