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Finding the Fourth Proportional to 24,098.76, 36,144.03 and 6,564.49

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Solution

The fourth proportional to 24,098.76, 36,144.03 and 6,564.49 is: 9,845.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,098.76 : 36,144.03 = 6,564.49 : x
  2. Step 2: Convert to fraction form
    24,098.76/36,144.03 = 6,564.49/x
  3. Step 3: Cross multiply
    24,098.76x = 36,144.03 × 6,564.49
  4. Step 4: Simplify right side
    24,098.76x = 237,267,033.13
  5. Step 5: Solve for x
    x = 237,267,033.13/24,098.76
  6. Step 6: Final answer
    x = 9,845.61

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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.