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Finding the Fourth Proportional to 15,288, 22,935.84 and 4,344

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Solution

The fourth proportional to 15,288, 22,935.84 and 4,344 is: 6,517.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,288 : 22,935.84 = 4,344 : x
  2. Step 2: Convert to fraction form
    15,288/22,935.84 = 4,344/x
  3. Step 3: Cross multiply
    15,288x = 22,935.84 × 4,344
  4. Step 4: Simplify right side
    15,288x = 99,633,288.96
  5. Step 5: Solve for x
    x = 99,633,288.96/15,288
  6. Step 6: Final answer
    x = 6,517.09

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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.