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Finding the Fourth Proportional to 22,268, 30,729.84 and 12,332

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Solution

The fourth proportional to 22,268, 30,729.84 and 12,332 is: 17,018.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,268 : 30,729.84 = 12,332 : x
  2. Step 2: Convert to fraction form
    22,268/30,729.84 = 12,332/x
  3. Step 3: Cross multiply
    22,268x = 30,729.84 × 12,332
  4. Step 4: Simplify right side
    22,268x = 378,960,386.88
  5. Step 5: Solve for x
    x = 378,960,386.88/22,268
  6. Step 6: Final answer
    x = 17,018.16

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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.