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Finding the Fourth Proportional to 23,521.31, 32,458.65 and 13,449.57

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Solution

The fourth proportional to 23,521.31, 32,458.65 and 13,449.57 is: 18,559.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,521.31 : 32,458.65 = 13,449.57 : x
  2. Step 2: Convert to fraction form
    23,521.31/32,458.65 = 13,449.57/x
  3. Step 3: Cross multiply
    23,521.31x = 32,458.65 × 13,449.57
  4. Step 4: Simplify right side
    23,521.31x = 436,554,885.28
  5. Step 5: Solve for x
    x = 436,554,885.28/23,521.31
  6. Step 6: Final answer
    x = 18,559.97

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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.