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Finding the Fourth Proportional to 24,284.24, 36,426.34 and 8,712.80

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Solution

The fourth proportional to 24,284.24, 36,426.34 and 8,712.80 is: 13,069.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,284.24 : 36,426.34 = 8,712.80 : x
  2. Step 2: Convert to fraction form
    24,284.24/36,426.34 = 8,712.80/x
  3. Step 3: Cross multiply
    24,284.24x = 36,426.34 × 8,712.80
  4. Step 4: Simplify right side
    24,284.24x = 317,375,415.15
  5. Step 5: Solve for x
    x = 317,375,415.15/24,284.24
  6. Step 6: Final answer
    x = 13,069.19

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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.