Home / 24,616.68-36,902.28-9,822

Finding the Fourth Proportional to 24,616.68, 36,902.28 and 9,822

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Solution

The fourth proportional to 24,616.68, 36,902.28 and 9,822 is: 14,723.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,616.68 : 36,902.28 = 9,822 : x
  2. Step 2: Convert to fraction form
    24,616.68/36,902.28 = 9,822/x
  3. Step 3: Cross multiply
    24,616.68x = 36,902.28 × 9,822
  4. Step 4: Simplify right side
    24,616.68x = 362,454,194.16
  5. Step 5: Solve for x
    x = 362,454,194.16/24,616.68
  6. Step 6: Final answer
    x = 14,723.93

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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.