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Finding the Fourth Proportional to 17,800, 24,564 and 11,176

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Solution

The fourth proportional to 17,800, 24,564 and 11,176 is: 15,422.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,800 : 24,564 = 11,176 : x
  2. Step 2: Convert to fraction form
    17,800/24,564 = 11,176/x
  3. Step 3: Cross multiply
    17,800x = 24,564 × 11,176
  4. Step 4: Simplify right side
    17,800x = 274,527,264
  5. Step 5: Solve for x
    x = 274,527,264/17,800
  6. Step 6: Final answer
    x = 15,422.88

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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.