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Finding the Fourth Proportional to 24,097.20, 36,145.60 and 6,567

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Solution

The fourth proportional to 24,097.20, 36,145.60 and 6,567 is: 9,850.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,097.20 : 36,145.60 = 6,567 : x
  2. Step 2: Convert to fraction form
    24,097.20/36,145.60 = 6,567/x
  3. Step 3: Cross multiply
    24,097.20x = 36,145.60 × 6,567
  4. Step 4: Simplify right side
    24,097.20x = 237,368,155.20
  5. Step 5: Solve for x
    x = 237,368,155.20/24,097.20
  6. Step 6: Final answer
    x = 9,850.45

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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.