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Finding the Fourth Proportional to 21,372.13, 32,061.89 and 9,530.11

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Solution

The fourth proportional to 21,372.13, 32,061.89 and 9,530.11 is: 14,296.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,372.13 : 32,061.89 = 9,530.11 : x
  2. Step 2: Convert to fraction form
    21,372.13/32,061.89 = 9,530.11/x
  3. Step 3: Cross multiply
    21,372.13x = 32,061.89 × 9,530.11
  4. Step 4: Simplify right side
    21,372.13x = 305,553,290.86
  5. Step 5: Solve for x
    x = 305,553,290.86/21,372.13
  6. Step 6: Final answer
    x = 14,296.81

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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.