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Finding the Fourth Proportional to 24,666.87, 37,004.17 and 8,023

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Solution

The fourth proportional to 24,666.87, 37,004.17 and 8,023 is: 12,035.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,666.87 : 37,004.17 = 8,023 : x
  2. Step 2: Convert to fraction form
    24,666.87/37,004.17 = 8,023/x
  3. Step 3: Cross multiply
    24,666.87x = 37,004.17 × 8,023
  4. Step 4: Simplify right side
    24,666.87x = 296,884,435.85
  5. Step 5: Solve for x
    x = 296,884,435.85/24,666.87
  6. Step 6: Final answer
    x = 12,035.76

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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.