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Finding the Fourth Proportional to 24,520.95, 36,780.57 and 7,882.11

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Solution

The fourth proportional to 24,520.95, 36,780.57 and 7,882.11 is: 11,822.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,520.95 : 36,780.57 = 7,882.11 : x
  2. Step 2: Convert to fraction form
    24,520.95/36,780.57 = 7,882.11/x
  3. Step 3: Cross multiply
    24,520.95x = 36,780.57 × 7,882.11
  4. Step 4: Simplify right side
    24,520.95x = 289,908,498.60
  5. Step 5: Solve for x
    x = 289,908,498.60/24,520.95
  6. Step 6: Final answer
    x = 11,822.89

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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.