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Finding the Fourth Proportional to 24,578.38, 36,858.20 and 8,780.45

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Solution

The fourth proportional to 24,578.38, 36,858.20 and 8,780.45 is: 13,167.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,578.38 : 36,858.20 = 8,780.45 : x
  2. Step 2: Convert to fraction form
    24,578.38/36,858.20 = 8,780.45/x
  3. Step 3: Cross multiply
    24,578.38x = 36,858.20 × 8,780.45
  4. Step 4: Simplify right side
    24,578.38x = 323,631,582.19
  5. Step 5: Solve for x
    x = 323,631,582.19/24,578.38
  6. Step 6: Final answer
    x = 13,167.33

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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.