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Finding the Fourth Proportional to 25,682.31, 38,512.53 and 10,089

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Solution

The fourth proportional to 25,682.31, 38,512.53 and 10,089 is: 15,129.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,682.31 : 38,512.53 = 10,089 : x
  2. Step 2: Convert to fraction form
    25,682.31/38,512.53 = 10,089/x
  3. Step 3: Cross multiply
    25,682.31x = 38,512.53 × 10,089
  4. Step 4: Simplify right side
    25,682.31x = 388,552,915.17
  5. Step 5: Solve for x
    x = 388,552,915.17/25,682.31
  6. Step 6: Final answer
    x = 15,129.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.