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Finding the Fourth Proportional to 16,117.14, 22,241.84 and 9,744.08

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Solution

The fourth proportional to 16,117.14, 22,241.84 and 9,744.08 is: 13,446.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,117.14 : 22,241.84 = 9,744.08 : x
  2. Step 2: Convert to fraction form
    16,117.14/22,241.84 = 9,744.08/x
  3. Step 3: Cross multiply
    16,117.14x = 22,241.84 × 9,744.08
  4. Step 4: Simplify right side
    16,117.14x = 216,726,268.31
  5. Step 5: Solve for x
    x = 216,726,268.31/16,117.14
  6. Step 6: Final answer
    x = 13,446.94

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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.