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Finding the Fourth Proportional to 24,694.40, 37,009.20 and 9,891.20

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Solution

The fourth proportional to 24,694.40, 37,009.20 and 9,891.20 is: 14,823.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,694.40 : 37,009.20 = 9,891.20 : x
  2. Step 2: Convert to fraction form
    24,694.40/37,009.20 = 9,891.20/x
  3. Step 3: Cross multiply
    24,694.40x = 37,009.20 × 9,891.20
  4. Step 4: Simplify right side
    24,694.40x = 366,065,399.04
  5. Step 5: Solve for x
    x = 366,065,399.04/24,694.40
  6. Step 6: Final answer
    x = 14,823.82

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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.