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Finding the Fourth Proportional to 24,045.63, 36,067.10 and 6,514.17

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Solution

The fourth proportional to 24,045.63, 36,067.10 and 6,514.17 is: 9,770.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,045.63 : 36,067.10 = 6,514.17 : x
  2. Step 2: Convert to fraction form
    24,045.63/36,067.10 = 6,514.17/x
  3. Step 3: Cross multiply
    24,045.63x = 36,067.10 × 6,514.17
  4. Step 4: Simplify right side
    24,045.63x = 234,947,188.24
  5. Step 5: Solve for x
    x = 234,947,188.24/24,045.63
  6. Step 6: Final answer
    x = 9,770.89

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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.