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Finding the Fourth Proportional to 27,709.52, 38,235.84 and 17,496.68

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Solution

The fourth proportional to 27,709.52, 38,235.84 and 17,496.68 is: 24,143.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,709.52 : 38,235.84 = 17,496.68 : x
  2. Step 2: Convert to fraction form
    27,709.52/38,235.84 = 17,496.68/x
  3. Step 3: Cross multiply
    27,709.52x = 38,235.84 × 17,496.68
  4. Step 4: Simplify right side
    27,709.52x = 669,000,257.01
  5. Step 5: Solve for x
    x = 669,000,257.01/27,709.52
  6. Step 6: Final answer
    x = 24,143.34

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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.