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Finding the Fourth Proportional to 24,154.12, 36,235.36 and 8,142.12

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Solution

The fourth proportional to 24,154.12, 36,235.36 and 8,142.12 is: 12,214.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,154.12 : 36,235.36 = 8,142.12 : x
  2. Step 2: Convert to fraction form
    24,154.12/36,235.36 = 8,142.12/x
  3. Step 3: Cross multiply
    24,154.12x = 36,235.36 × 8,142.12
  4. Step 4: Simplify right side
    24,154.12x = 295,032,649.36
  5. Step 5: Solve for x
    x = 295,032,649.36/24,154.12
  6. Step 6: Final answer
    x = 12,214.59

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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.