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Finding the Fourth Proportional to 24,129.80, 36,194.70 and 16,256.60

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Solution

The fourth proportional to 24,129.80, 36,194.70 and 16,256.60 is: 24,384.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,129.80 : 36,194.70 = 16,256.60 : x
  2. Step 2: Convert to fraction form
    24,129.80/36,194.70 = 16,256.60/x
  3. Step 3: Cross multiply
    24,129.80x = 36,194.70 × 16,256.60
  4. Step 4: Simplify right side
    24,129.80x = 588,402,760.02
  5. Step 5: Solve for x
    x = 588,402,760.02/24,129.80
  6. Step 6: Final answer
    x = 24,384.90

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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.