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Finding the Fourth Proportional to 24,514.88, 36,777.78 and 8,932.50

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Solution

The fourth proportional to 24,514.88, 36,777.78 and 8,932.50 is: 13,400.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,514.88 : 36,777.78 = 8,932.50 : x
  2. Step 2: Convert to fraction form
    24,514.88/36,777.78 = 8,932.50/x
  3. Step 3: Cross multiply
    24,514.88x = 36,777.78 × 8,932.50
  4. Step 4: Simplify right side
    24,514.88x = 328,517,519.85
  5. Step 5: Solve for x
    x = 328,517,519.85/24,514.88
  6. Step 6: Final answer
    x = 13,400.74

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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.