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Finding the Fourth Proportional to 21,624.57, 32,430.17 and 9,144.39

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Solution

The fourth proportional to 21,624.57, 32,430.17 and 9,144.39 is: 13,713.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,624.57 : 32,430.17 = 9,144.39 : x
  2. Step 2: Convert to fraction form
    21,624.57/32,430.17 = 9,144.39/x
  3. Step 3: Cross multiply
    21,624.57x = 32,430.17 × 9,144.39
  4. Step 4: Simplify right side
    21,624.57x = 296,554,266.72
  5. Step 5: Solve for x
    x = 296,554,266.72/21,624.57
  6. Step 6: Final answer
    x = 13,713.76

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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.