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Finding the Fourth Proportional to 24,102.45, 36,114.80 and 12,380.13

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Solution

The fourth proportional to 24,102.45, 36,114.80 and 12,380.13 is: 18,550.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,102.45 : 36,114.80 = 12,380.13 : x
  2. Step 2: Convert to fraction form
    24,102.45/36,114.80 = 12,380.13/x
  3. Step 3: Cross multiply
    24,102.45x = 36,114.80 × 12,380.13
  4. Step 4: Simplify right side
    24,102.45x = 447,105,857.02
  5. Step 5: Solve for x
    x = 447,105,857.02/24,102.45
  6. Step 6: Final answer
    x = 18,550.22

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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.