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Finding the Fourth Proportional to 23,897, 32,976.56 and 13,285.88

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Solution

The fourth proportional to 23,897, 32,976.56 and 13,285.88 is: 18,333.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,897 : 32,976.56 = 13,285.88 : x
  2. Step 2: Convert to fraction form
    23,897/32,976.56 = 13,285.88/x
  3. Step 3: Cross multiply
    23,897x = 32,976.56 × 13,285.88
  4. Step 4: Simplify right side
    23,897x = 438,122,618.97
  5. Step 5: Solve for x
    x = 438,122,618.97/23,897
  6. Step 6: Final answer
    x = 18,333.79

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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.