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Finding the Fourth Proportional to 23,103.60, 34,655.40 and 8,314.80

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Solution

The fourth proportional to 23,103.60, 34,655.40 and 8,314.80 is: 12,472.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,103.60 : 34,655.40 = 8,314.80 : x
  2. Step 2: Convert to fraction form
    23,103.60/34,655.40 = 8,314.80/x
  3. Step 3: Cross multiply
    23,103.60x = 34,655.40 × 8,314.80
  4. Step 4: Simplify right side
    23,103.60x = 288,152,719.92
  5. Step 5: Solve for x
    x = 288,152,719.92/23,103.60
  6. Step 6: Final answer
    x = 12,472.20

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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.