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Finding the Fourth Proportional to 24,065.20, 36,097.80 and 18,233.20

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Solution

The fourth proportional to 24,065.20, 36,097.80 and 18,233.20 is: 27,349.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,065.20 : 36,097.80 = 18,233.20 : x
  2. Step 2: Convert to fraction form
    24,065.20/36,097.80 = 18,233.20/x
  3. Step 3: Cross multiply
    24,065.20x = 36,097.80 × 18,233.20
  4. Step 4: Simplify right side
    24,065.20x = 658,178,406.96
  5. Step 5: Solve for x
    x = 658,178,406.96/24,065.20
  6. Step 6: Final answer
    x = 27,349.80

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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.