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Finding the Fourth Proportional to 15,957.96, 23,915.82 and 12,246

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Solution

The fourth proportional to 15,957.96, 23,915.82 and 12,246 is: 18,352.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,957.96 : 23,915.82 = 12,246 : x
  2. Step 2: Convert to fraction form
    15,957.96/23,915.82 = 12,246/x
  3. Step 3: Cross multiply
    15,957.96x = 23,915.82 × 12,246
  4. Step 4: Simplify right side
    15,957.96x = 292,873,131.72
  5. Step 5: Solve for x
    x = 292,873,131.72/15,957.96
  6. Step 6: Final answer
    x = 18,352.79

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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.