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Finding the Fourth Proportional to 21,331.08, 32,007.42 and 14,391

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Solution

The fourth proportional to 21,331.08, 32,007.42 and 14,391 is: 21,593.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,331.08 : 32,007.42 = 14,391 : x
  2. Step 2: Convert to fraction form
    21,331.08/32,007.42 = 14,391/x
  3. Step 3: Cross multiply
    21,331.08x = 32,007.42 × 14,391
  4. Step 4: Simplify right side
    21,331.08x = 460,618,781.22
  5. Step 5: Solve for x
    x = 460,618,781.22/21,331.08
  6. Step 6: Final answer
    x = 21,593.79

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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.