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Finding the Fourth Proportional to 21,707.52, 32,562.28 and 9,225.76

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Solution

The fourth proportional to 21,707.52, 32,562.28 and 9,225.76 is: 13,839.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,707.52 : 32,562.28 = 9,225.76 : x
  2. Step 2: Convert to fraction form
    21,707.52/32,562.28 = 9,225.76/x
  3. Step 3: Cross multiply
    21,707.52x = 32,562.28 × 9,225.76
  4. Step 4: Simplify right side
    21,707.52x = 300,411,780.33
  5. Step 5: Solve for x
    x = 300,411,780.33/21,707.52
  6. Step 6: Final answer
    x = 13,839.07

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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.