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Finding the Fourth Proportional to 24,119.26, 36,165.93 and 8,534.86

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Solution

The fourth proportional to 24,119.26, 36,165.93 and 8,534.86 is: 12,797.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,119.26 : 36,165.93 = 8,534.86 : x
  2. Step 2: Convert to fraction form
    24,119.26/36,165.93 = 8,534.86/x
  3. Step 3: Cross multiply
    24,119.26x = 36,165.93 × 8,534.86
  4. Step 4: Simplify right side
    24,119.26x = 308,671,149.32
  5. Step 5: Solve for x
    x = 308,671,149.32/24,119.26
  6. Step 6: Final answer
    x = 12,797.70

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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.