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Finding the Fourth Proportional to 16,077.60, 24,116.40 and 11,152.80

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Solution

The fourth proportional to 16,077.60, 24,116.40 and 11,152.80 is: 16,729.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,077.60 : 24,116.40 = 11,152.80 : x
  2. Step 2: Convert to fraction form
    16,077.60/24,116.40 = 11,152.80/x
  3. Step 3: Cross multiply
    16,077.60x = 24,116.40 × 11,152.80
  4. Step 4: Simplify right side
    16,077.60x = 268,965,385.92
  5. Step 5: Solve for x
    x = 268,965,385.92/16,077.60
  6. Step 6: Final answer
    x = 16,729.20

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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.