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Finding the Fourth Proportional to 23,115.52, 31,897.02 and 13,044.52

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Solution

The fourth proportional to 23,115.52, 31,897.02 and 13,044.52 is: 18,000.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,115.52 : 31,897.02 = 13,044.52 : x
  2. Step 2: Convert to fraction form
    23,115.52/31,897.02 = 13,044.52/x
  3. Step 3: Cross multiply
    23,115.52x = 31,897.02 × 13,044.52
  4. Step 4: Simplify right side
    23,115.52x = 416,081,315.33
  5. Step 5: Solve for x
    x = 416,081,315.33/23,115.52
  6. Step 6: Final answer
    x = 18,000.08

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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.