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Finding the Fourth Proportional to 17,754.32, 24,503.34 and 11,382

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Solution

The fourth proportional to 17,754.32, 24,503.34 and 11,382 is: 15,708.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,754.32 : 24,503.34 = 11,382 : x
  2. Step 2: Convert to fraction form
    17,754.32/24,503.34 = 11,382/x
  3. Step 3: Cross multiply
    17,754.32x = 24,503.34 × 11,382
  4. Step 4: Simplify right side
    17,754.32x = 278,897,015.88
  5. Step 5: Solve for x
    x = 278,897,015.88/17,754.32
  6. Step 6: Final answer
    x = 15,708.68

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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.