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Finding the Fourth Proportional to 24,026.52, 36,041.70 and 8,447.64

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Solution

The fourth proportional to 24,026.52, 36,041.70 and 8,447.64 is: 12,672.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,026.52 : 36,041.70 = 8,447.64 : x
  2. Step 2: Convert to fraction form
    24,026.52/36,041.70 = 8,447.64/x
  3. Step 3: Cross multiply
    24,026.52x = 36,041.70 × 8,447.64
  4. Step 4: Simplify right side
    24,026.52x = 304,467,306.59
  5. Step 5: Solve for x
    x = 304,467,306.59/24,026.52
  6. Step 6: Final answer
    x = 12,672.14

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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.