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Finding the Fourth Proportional to 23,101.60, 34,652.40 and 8,312.80

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Solution

The fourth proportional to 23,101.60, 34,652.40 and 8,312.80 is: 12,469.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,101.60 : 34,652.40 = 8,312.80 : x
  2. Step 2: Convert to fraction form
    23,101.60/34,652.40 = 8,312.80/x
  3. Step 3: Cross multiply
    23,101.60x = 34,652.40 × 8,312.80
  4. Step 4: Simplify right side
    23,101.60x = 288,058,470.72
  5. Step 5: Solve for x
    x = 288,058,470.72/23,101.60
  6. Step 6: Final answer
    x = 12,469.20

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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.