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Finding the Fourth Proportional to 24,073.86, 36,110.61 and 6,543.66

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Solution

The fourth proportional to 24,073.86, 36,110.61 and 6,543.66 is: 9,815.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,073.86 : 36,110.61 = 6,543.66 : x
  2. Step 2: Convert to fraction form
    24,073.86/36,110.61 = 6,543.66/x
  3. Step 3: Cross multiply
    24,073.86x = 36,110.61 × 6,543.66
  4. Step 4: Simplify right side
    24,073.86x = 236,295,554.23
  5. Step 5: Solve for x
    x = 236,295,554.23/24,073.86
  6. Step 6: Final answer
    x = 9,815.44

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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.