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Finding the Fourth Proportional to 23,644.70, 32,631.14 and 13,034.30

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Solution

The fourth proportional to 23,644.70, 32,631.14 and 13,034.30 is: 17,988.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,644.70 : 32,631.14 = 13,034.30 : x
  2. Step 2: Convert to fraction form
    23,644.70/32,631.14 = 13,034.30/x
  3. Step 3: Cross multiply
    23,644.70x = 32,631.14 × 13,034.30
  4. Step 4: Simplify right side
    23,644.70x = 425,324,068.10
  5. Step 5: Solve for x
    x = 425,324,068.10/23,644.70
  6. Step 6: Final answer
    x = 17,988.14

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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.