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Finding the Fourth Proportional to 14,331.63, 21,505.65 and 5,565.41

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Solution

The fourth proportional to 14,331.63, 21,505.65 and 5,565.41 is: 8,351.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,331.63 : 21,505.65 = 5,565.41 : x
  2. Step 2: Convert to fraction form
    14,331.63/21,505.65 = 5,565.41/x
  3. Step 3: Cross multiply
    14,331.63x = 21,505.65 × 5,565.41
  4. Step 4: Simplify right side
    14,331.63x = 119,687,759.57
  5. Step 5: Solve for x
    x = 119,687,759.57/14,331.63
  6. Step 6: Final answer
    x = 8,351.30

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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.