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Finding the Fourth Proportional to 23,580.80, 32,527.27 and 14,507.71

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Solution

The fourth proportional to 23,580.80, 32,527.27 and 14,507.71 is: 20,011.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,580.80 : 32,527.27 = 14,507.71 : x
  2. Step 2: Convert to fraction form
    23,580.80/32,527.27 = 14,507.71/x
  3. Step 3: Cross multiply
    23,580.80x = 32,527.27 × 14,507.71
  4. Step 4: Simplify right side
    23,580.80x = 471,896,200.25
  5. Step 5: Solve for x
    x = 471,896,200.25/23,580.80
  6. Step 6: Final answer
    x = 20,011.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.