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Finding the Fourth Proportional to 21,527.72, 32,291.90 and 14,179.24

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Solution

The fourth proportional to 21,527.72, 32,291.90 and 14,179.24 is: 21,269.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,527.72 : 32,291.90 = 14,179.24 : x
  2. Step 2: Convert to fraction form
    21,527.72/32,291.90 = 14,179.24/x
  3. Step 3: Cross multiply
    21,527.72x = 32,291.90 × 14,179.24
  4. Step 4: Simplify right side
    21,527.72x = 457,874,600.16
  5. Step 5: Solve for x
    x = 457,874,600.16/21,527.72
  6. Step 6: Final answer
    x = 21,269.07

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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.