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Finding the Fourth Proportional to 24,519.29, 36,780.26 and 7,878.02

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Solution

The fourth proportional to 24,519.29, 36,780.26 and 7,878.02 is: 11,817.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,519.29 : 36,780.26 = 7,878.02 : x
  2. Step 2: Convert to fraction form
    24,519.29/36,780.26 = 7,878.02/x
  3. Step 3: Cross multiply
    24,519.29x = 36,780.26 × 7,878.02
  4. Step 4: Simplify right side
    24,519.29x = 289,755,400.59
  5. Step 5: Solve for x
    x = 289,755,400.59/24,519.29
  6. Step 6: Final answer
    x = 11,817.45

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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.