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Finding the Fourth Proportional to 21,538.48, 32,317.92 and 9,061.24

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Solution

The fourth proportional to 21,538.48, 32,317.92 and 9,061.24 is: 13,596.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,538.48 : 32,317.92 = 9,061.24 : x
  2. Step 2: Convert to fraction form
    21,538.48/32,317.92 = 9,061.24/x
  3. Step 3: Cross multiply
    21,538.48x = 32,317.92 × 9,061.24
  4. Step 4: Simplify right side
    21,538.48x = 292,840,429.42
  5. Step 5: Solve for x
    x = 292,840,429.42/21,538.48
  6. Step 6: Final answer
    x = 13,596.15

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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.