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Finding the Fourth Proportional to 24,575.36, 36,863.14 and 7,478.42

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Solution

The fourth proportional to 24,575.36, 36,863.14 and 7,478.42 is: 11,217.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,575.36 : 36,863.14 = 7,478.42 : x
  2. Step 2: Convert to fraction form
    24,575.36/36,863.14 = 7,478.42/x
  3. Step 3: Cross multiply
    24,575.36x = 36,863.14 × 7,478.42
  4. Step 4: Simplify right side
    24,575.36x = 275,677,854.45
  5. Step 5: Solve for x
    x = 275,677,854.45/24,575.36
  6. Step 6: Final answer
    x = 11,217.65

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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.