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Finding the Fourth Proportional to 17,633.40, 24,334.12 and 9,675.69

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Solution

The fourth proportional to 17,633.40, 24,334.12 and 9,675.69 is: 13,352.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,633.40 : 24,334.12 = 9,675.69 : x
  2. Step 2: Convert to fraction form
    17,633.40/24,334.12 = 9,675.69/x
  3. Step 3: Cross multiply
    17,633.40x = 24,334.12 × 9,675.69
  4. Step 4: Simplify right side
    17,633.40x = 235,449,322.38
  5. Step 5: Solve for x
    x = 235,449,322.38/17,633.40
  6. Step 6: Final answer
    x = 13,352.46

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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.