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Finding the Fourth Proportional to 24,117.96, 36,147.78 and 12,424.80

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Solution

The fourth proportional to 24,117.96, 36,147.78 and 12,424.80 is: 18,622.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,117.96 : 36,147.78 = 12,424.80 : x
  2. Step 2: Convert to fraction form
    24,117.96/36,147.78 = 12,424.80/x
  3. Step 3: Cross multiply
    24,117.96x = 36,147.78 × 12,424.80
  4. Step 4: Simplify right side
    24,117.96x = 449,128,936.94
  5. Step 5: Solve for x
    x = 449,128,936.94/24,117.96
  6. Step 6: Final answer
    x = 18,622.18

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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.