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Finding the Fourth Proportional to 24,151.20, 36,232.20 and 9,358.80

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Solution

The fourth proportional to 24,151.20, 36,232.20 and 9,358.80 is: 14,040.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,151.20 : 36,232.20 = 9,358.80 : x
  2. Step 2: Convert to fraction form
    24,151.20/36,232.20 = 9,358.80/x
  3. Step 3: Cross multiply
    24,151.20x = 36,232.20 × 9,358.80
  4. Step 4: Simplify right side
    24,151.20x = 339,089,913.36
  5. Step 5: Solve for x
    x = 339,089,913.36/24,151.20
  6. Step 6: Final answer
    x = 14,040.29

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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.