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Finding the Fourth Proportional to 24,149.16, 36,224.64 and 6,618.96

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Solution

The fourth proportional to 24,149.16, 36,224.64 and 6,618.96 is: 9,928.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,149.16 : 36,224.64 = 6,618.96 : x
  2. Step 2: Convert to fraction form
    24,149.16/36,224.64 = 6,618.96/x
  3. Step 3: Cross multiply
    24,149.16x = 36,224.64 × 6,618.96
  4. Step 4: Simplify right side
    24,149.16x = 239,769,443.17
  5. Step 5: Solve for x
    x = 239,769,443.17/24,149.16
  6. Step 6: Final answer
    x = 9,928.69

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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.