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Finding the Fourth Proportional to 24,209.29, 36,319.77 and 8,412.02

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Solution

The fourth proportional to 24,209.29, 36,319.77 and 8,412.02 is: 12,620.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,209.29 : 36,319.77 = 8,412.02 : x
  2. Step 2: Convert to fraction form
    24,209.29/36,319.77 = 8,412.02/x
  3. Step 3: Cross multiply
    24,209.29x = 36,319.77 × 8,412.02
  4. Step 4: Simplify right side
    24,209.29x = 305,522,407.98
  5. Step 5: Solve for x
    x = 305,522,407.98/24,209.29
  6. Step 6: Final answer
    x = 12,620.05

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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.