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Finding the Fourth Proportional to 24,716.40, 37,042.20 and 9,913.20

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Solution

The fourth proportional to 24,716.40, 37,042.20 and 9,913.20 is: 14,856.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,716.40 : 37,042.20 = 9,913.20 : x
  2. Step 2: Convert to fraction form
    24,716.40/37,042.20 = 9,913.20/x
  3. Step 3: Cross multiply
    24,716.40x = 37,042.20 × 9,913.20
  4. Step 4: Simplify right side
    24,716.40x = 367,206,737.04
  5. Step 5: Solve for x
    x = 367,206,737.04/24,716.40
  6. Step 6: Final answer
    x = 14,856.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.