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Finding the Fourth Proportional to 17,298.38, 23,871.84 and 9,744.32

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Solution

The fourth proportional to 17,298.38, 23,871.84 and 9,744.32 is: 13,447.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,298.38 : 23,871.84 = 9,744.32 : x
  2. Step 2: Convert to fraction form
    17,298.38/23,871.84 = 9,744.32/x
  3. Step 3: Cross multiply
    17,298.38x = 23,871.84 × 9,744.32
  4. Step 4: Simplify right side
    17,298.38x = 232,614,847.95
  5. Step 5: Solve for x
    x = 232,614,847.95/17,298.38
  6. Step 6: Final answer
    x = 13,447.20

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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.