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Finding the Fourth Proportional to 23,654.79, 32,642.12 and 13,576.14

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Solution

The fourth proportional to 23,654.79, 32,642.12 and 13,576.14 is: 18,734.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,654.79 : 32,642.12 = 13,576.14 : x
  2. Step 2: Convert to fraction form
    23,654.79/32,642.12 = 13,576.14/x
  3. Step 3: Cross multiply
    23,654.79x = 32,642.12 × 13,576.14
  4. Step 4: Simplify right side
    23,654.79x = 443,154,024.96
  5. Step 5: Solve for x
    x = 443,154,024.96/23,654.79
  6. Step 6: Final answer
    x = 18,734.22

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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.