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Finding the Fourth Proportional to 22,838.66, 31,479.68 and 15,282.32

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Solution

The fourth proportional to 22,838.66, 31,479.68 and 15,282.32 is: 21,064.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,838.66 : 31,479.68 = 15,282.32 : x
  2. Step 2: Convert to fraction form
    22,838.66/31,479.68 = 15,282.32/x
  3. Step 3: Cross multiply
    22,838.66x = 31,479.68 × 15,282.32
  4. Step 4: Simplify right side
    22,838.66x = 481,082,543.26
  5. Step 5: Solve for x
    x = 481,082,543.26/22,838.66
  6. Step 6: Final answer
    x = 21,064.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.