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Finding the Fourth Proportional to 17,881.56, 24,675.39 and 9,923.76

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Solution

The fourth proportional to 17,881.56, 24,675.39 and 9,923.76 is: 13,694.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,881.56 : 24,675.39 = 9,923.76 : x
  2. Step 2: Convert to fraction form
    17,881.56/24,675.39 = 9,923.76/x
  3. Step 3: Cross multiply
    17,881.56x = 24,675.39 × 9,923.76
  4. Step 4: Simplify right side
    17,881.56x = 244,872,648.27
  5. Step 5: Solve for x
    x = 244,872,648.27/17,881.56
  6. Step 6: Final answer
    x = 13,694.14

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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.