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Finding the Fourth Proportional to 17,399.76, 24,014.92 and 9,947.76

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Solution

The fourth proportional to 17,399.76, 24,014.92 and 9,947.76 is: 13,729.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,399.76 : 24,014.92 = 9,947.76 : x
  2. Step 2: Convert to fraction form
    17,399.76/24,014.92 = 9,947.76/x
  3. Step 3: Cross multiply
    17,399.76x = 24,014.92 × 9,947.76
  4. Step 4: Simplify right side
    17,399.76x = 238,894,660.58
  5. Step 5: Solve for x
    x = 238,894,660.58/17,399.76
  6. Step 6: Final answer
    x = 13,729.77

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1.5x scale

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.