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Finding the Fourth Proportional to 21,727.56, 32,585.78 and 9,241.14

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Solution

The fourth proportional to 21,727.56, 32,585.78 and 9,241.14 is: 13,859.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,727.56 : 32,585.78 = 9,241.14 : x
  2. Step 2: Convert to fraction form
    21,727.56/32,585.78 = 9,241.14/x
  3. Step 3: Cross multiply
    21,727.56x = 32,585.78 × 9,241.14
  4. Step 4: Simplify right side
    21,727.56x = 301,129,754.99
  5. Step 5: Solve for x
    x = 301,129,754.99/21,727.56
  6. Step 6: Final answer
    x = 13,859.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.