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Finding the Fourth Proportional to 24,043.78, 36,061.14 and 6,511.30

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Solution

The fourth proportional to 24,043.78, 36,061.14 and 6,511.30 is: 9,765.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,043.78 : 36,061.14 = 6,511.30 : x
  2. Step 2: Convert to fraction form
    24,043.78/36,061.14 = 6,511.30/x
  3. Step 3: Cross multiply
    24,043.78x = 36,061.14 × 6,511.30
  4. Step 4: Simplify right side
    24,043.78x = 234,804,900.88
  5. Step 5: Solve for x
    x = 234,804,900.88/24,043.78
  6. Step 6: Final answer
    x = 9,765.72

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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.