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Finding the Fourth Proportional to 24,519.31, 36,780.21 and 7,878.06

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Solution

The fourth proportional to 24,519.31, 36,780.21 and 7,878.06 is: 11,817.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,519.31 : 36,780.21 = 7,878.06 : x
  2. Step 2: Convert to fraction form
    24,519.31/36,780.21 = 7,878.06/x
  3. Step 3: Cross multiply
    24,519.31x = 36,780.21 × 7,878.06
  4. Step 4: Simplify right side
    24,519.31x = 289,756,701.19
  5. Step 5: Solve for x
    x = 289,756,701.19/24,519.31
  6. Step 6: Final answer
    x = 11,817.49

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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.