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Finding the Fourth Proportional to 24,113.96, 36,141.78 and 12,420.80

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Solution

The fourth proportional to 24,113.96, 36,141.78 and 12,420.80 is: 18,616.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,113.96 : 36,141.78 = 12,420.80 : x
  2. Step 2: Convert to fraction form
    24,113.96/36,141.78 = 12,420.80/x
  3. Step 3: Cross multiply
    24,113.96x = 36,141.78 × 12,420.80
  4. Step 4: Simplify right side
    24,113.96x = 448,909,821.02
  5. Step 5: Solve for x
    x = 448,909,821.02/24,113.96
  6. Step 6: Final answer
    x = 18,616.18

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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.