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Finding the Fourth Proportional to 23,597.31, 32,565.62 and 13,527.42

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Solution

The fourth proportional to 23,597.31, 32,565.62 and 13,527.42 is: 18,668.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,597.31 : 32,565.62 = 13,527.42 : x
  2. Step 2: Convert to fraction form
    23,597.31/32,565.62 = 13,527.42/x
  3. Step 3: Cross multiply
    23,597.31x = 32,565.62 × 13,527.42
  4. Step 4: Simplify right side
    23,597.31x = 440,528,819.30
  5. Step 5: Solve for x
    x = 440,528,819.30/23,597.31
  6. Step 6: Final answer
    x = 18,668.60

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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.