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Finding the Fourth Proportional to 15,398.56, 23,098.38 and 10,201.60

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Solution

The fourth proportional to 15,398.56, 23,098.38 and 10,201.60 is: 15,302.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,398.56 : 23,098.38 = 10,201.60 : x
  2. Step 2: Convert to fraction form
    15,398.56/23,098.38 = 10,201.60/x
  3. Step 3: Cross multiply
    15,398.56x = 23,098.38 × 10,201.60
  4. Step 4: Simplify right side
    15,398.56x = 235,640,433.41
  5. Step 5: Solve for x
    x = 235,640,433.41/15,398.56
  6. Step 6: Final answer
    x = 15,302.76

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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.