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Finding the Fourth Proportional to 24,507.72, 36,773.73 and 9,716.31

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Solution

The fourth proportional to 24,507.72, 36,773.73 and 9,716.31 is: 14,579.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,507.72 : 36,773.73 = 9,716.31 : x
  2. Step 2: Convert to fraction form
    24,507.72/36,773.73 = 9,716.31/x
  3. Step 3: Cross multiply
    24,507.72x = 36,773.73 × 9,716.31
  4. Step 4: Simplify right side
    24,507.72x = 357,304,960.54
  5. Step 5: Solve for x
    x = 357,304,960.54/24,507.72
  6. Step 6: Final answer
    x = 14,579.28

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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.