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Finding the Fourth Proportional to 24,711, 37,066.68 and 8,295

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Solution

The fourth proportional to 24,711, 37,066.68 and 8,295 is: 12,442.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,711 : 37,066.68 = 8,295 : x
  2. Step 2: Convert to fraction form
    24,711/37,066.68 = 8,295/x
  3. Step 3: Cross multiply
    24,711x = 37,066.68 × 8,295
  4. Step 4: Simplify right side
    24,711x = 307,468,110.60
  5. Step 5: Solve for x
    x = 307,468,110.60/24,711
  6. Step 6: Final answer
    x = 12,442.56

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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.