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Finding the Fourth Proportional to 21,088.44, 29,115.60 and 13,538

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Solution

The fourth proportional to 21,088.44, 29,115.60 and 13,538 is: 18,691.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,088.44 : 29,115.60 = 13,538 : x
  2. Step 2: Convert to fraction form
    21,088.44/29,115.60 = 13,538/x
  3. Step 3: Cross multiply
    21,088.44x = 29,115.60 × 13,538
  4. Step 4: Simplify right side
    21,088.44x = 394,166,992.80
  5. Step 5: Solve for x
    x = 394,166,992.80/21,088.44
  6. Step 6: Final answer
    x = 18,691.14

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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.