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Finding the Fourth Proportional to 24,645.90, 36,946.67 and 8,847.23

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Solution

The fourth proportional to 24,645.90, 36,946.67 and 8,847.23 is: 13,262.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,645.90 : 36,946.67 = 8,847.23 : x
  2. Step 2: Convert to fraction form
    24,645.90/36,946.67 = 8,847.23/x
  3. Step 3: Cross multiply
    24,645.90x = 36,946.67 × 8,847.23
  4. Step 4: Simplify right side
    24,645.90x = 326,875,458.25
  5. Step 5: Solve for x
    x = 326,875,458.25/24,645.90
  6. Step 6: Final answer
    x = 13,262.87

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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.