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Finding the Fourth Proportional to 24,341.86, 36,513.12 and 8,546.26

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Solution

The fourth proportional to 24,341.86, 36,513.12 and 8,546.26 is: 12,819.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,341.86 : 36,513.12 = 8,546.26 : x
  2. Step 2: Convert to fraction form
    24,341.86/36,513.12 = 8,546.26/x
  3. Step 3: Cross multiply
    24,341.86x = 36,513.12 × 8,546.26
  4. Step 4: Simplify right side
    24,341.86x = 312,050,616.93
  5. Step 5: Solve for x
    x = 312,050,616.93/24,341.86
  6. Step 6: Final answer
    x = 12,819.51

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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.