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Finding the Fourth Proportional to 15,915.60, 23,873.40 and 8,123.40

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Solution

The fourth proportional to 15,915.60, 23,873.40 and 8,123.40 is: 12,185.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,915.60 : 23,873.40 = 8,123.40 : x
  2. Step 2: Convert to fraction form
    15,915.60/23,873.40 = 8,123.40/x
  3. Step 3: Cross multiply
    15,915.60x = 23,873.40 × 8,123.40
  4. Step 4: Simplify right side
    15,915.60x = 193,933,177.56
  5. Step 5: Solve for x
    x = 193,933,177.56/15,915.60
  6. Step 6: Final answer
    x = 12,185.10

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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.