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Finding the Fourth Proportional to 24,705.78, 37,062.21 and 8,061.69

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Solution

The fourth proportional to 24,705.78, 37,062.21 and 8,061.69 is: 12,093.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,705.78 : 37,062.21 = 8,061.69 : x
  2. Step 2: Convert to fraction form
    24,705.78/37,062.21 = 8,061.69/x
  3. Step 3: Cross multiply
    24,705.78x = 37,062.21 × 8,061.69
  4. Step 4: Simplify right side
    24,705.78x = 298,784,171.60
  5. Step 5: Solve for x
    x = 298,784,171.60/24,705.78
  6. Step 6: Final answer
    x = 12,093.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.