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Finding the Fourth Proportional to 15,286, 22,932.84 and 4,342

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Solution

The fourth proportional to 15,286, 22,932.84 and 4,342 is: 6,514.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,286 : 22,932.84 = 4,342 : x
  2. Step 2: Convert to fraction form
    15,286/22,932.84 = 4,342/x
  3. Step 3: Cross multiply
    15,286x = 22,932.84 × 4,342
  4. Step 4: Simplify right side
    15,286x = 99,574,391.28
  5. Step 5: Solve for x
    x = 99,574,391.28/15,286
  6. Step 6: Final answer
    x = 6,514.09

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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.