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Finding the Fourth Proportional to 17,642.82, 24,347.94 and 9,684.96

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Solution

The fourth proportional to 17,642.82, 24,347.94 and 9,684.96 is: 13,365.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,642.82 : 24,347.94 = 9,684.96 : x
  2. Step 2: Convert to fraction form
    17,642.82/24,347.94 = 9,684.96/x
  3. Step 3: Cross multiply
    17,642.82x = 24,347.94 × 9,684.96
  4. Step 4: Simplify right side
    17,642.82x = 235,808,824.98
  5. Step 5: Solve for x
    x = 235,808,824.98/17,642.82
  6. Step 6: Final answer
    x = 13,365.71

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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.