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Finding the Fourth Proportional to 17,876.96, 24,669.48 and 9,918.96

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Solution

The fourth proportional to 17,876.96, 24,669.48 and 9,918.96 is: 13,687.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,876.96 : 24,669.48 = 9,918.96 : x
  2. Step 2: Convert to fraction form
    17,876.96/24,669.48 = 9,918.96/x
  3. Step 3: Cross multiply
    17,876.96x = 24,669.48 × 9,918.96
  4. Step 4: Simplify right side
    17,876.96x = 244,695,585.34
  5. Step 5: Solve for x
    x = 244,695,585.34/17,876.96
  6. Step 6: Final answer
    x = 13,687.76

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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.