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Finding the Fourth Proportional to 17,854.44, 24,640.56 and 9,897.36

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Solution

The fourth proportional to 17,854.44, 24,640.56 and 9,897.36 is: 13,659.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,854.44 : 24,640.56 = 9,897.36 : x
  2. Step 2: Convert to fraction form
    17,854.44/24,640.56 = 9,897.36/x
  3. Step 3: Cross multiply
    17,854.44x = 24,640.56 × 9,897.36
  4. Step 4: Simplify right side
    17,854.44x = 243,876,492.92
  5. Step 5: Solve for x
    x = 243,876,492.92/17,854.44
  6. Step 6: Final answer
    x = 13,659.15

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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.