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Finding the Fourth Proportional to 24,114.69, 36,180.90 and 10,076.13

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Solution

The fourth proportional to 24,114.69, 36,180.90 and 10,076.13 is: 15,117.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,114.69 : 36,180.90 = 10,076.13 : x
  2. Step 2: Convert to fraction form
    24,114.69/36,180.90 = 10,076.13/x
  3. Step 3: Cross multiply
    24,114.69x = 36,180.90 × 10,076.13
  4. Step 4: Simplify right side
    24,114.69x = 364,563,451.92
  5. Step 5: Solve for x
    x = 364,563,451.92/24,114.69
  6. Step 6: Final answer
    x = 15,117.90

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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.