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Finding the Fourth Proportional to 14,241.96, 19,644.66 and 8,932.14

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Solution

The fourth proportional to 14,241.96, 19,644.66 and 8,932.14 is: 12,320.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,241.96 : 19,644.66 = 8,932.14 : x
  2. Step 2: Convert to fraction form
    14,241.96/19,644.66 = 8,932.14/x
  3. Step 3: Cross multiply
    14,241.96x = 19,644.66 × 8,932.14
  4. Step 4: Simplify right side
    14,241.96x = 175,468,853.37
  5. Step 5: Solve for x
    x = 175,468,853.37/14,241.96
  6. Step 6: Final answer
    x = 12,320.56

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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.