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Finding the Fourth Proportional to 23,644.38, 32,630.72 and 13,034.00

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Solution

The fourth proportional to 23,644.38, 32,630.72 and 13,034.00 is: 17,987.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,644.38 : 32,630.72 = 13,034.00 : x
  2. Step 2: Convert to fraction form
    23,644.38/32,630.72 = 13,034.00/x
  3. Step 3: Cross multiply
    23,644.38x = 32,630.72 × 13,034.00
  4. Step 4: Simplify right side
    23,644.38x = 425,308,576.16
  5. Step 5: Solve for x
    x = 425,308,576.16/23,644.38
  6. Step 6: Final answer
    x = 17,987.72

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Why These Related Problems?

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