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Finding the Fourth Proportional to 17,601.60, 24,290.18 and 9,643.82

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Solution

The fourth proportional to 17,601.60, 24,290.18 and 9,643.82 is: 13,308.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,601.60 : 24,290.18 = 9,643.82 : x
  2. Step 2: Convert to fraction form
    17,601.60/24,290.18 = 9,643.82/x
  3. Step 3: Cross multiply
    17,601.60x = 24,290.18 × 9,643.82
  4. Step 4: Simplify right side
    17,601.60x = 234,250,123.69
  5. Step 5: Solve for x
    x = 234,250,123.69/17,601.60
  6. Step 6: Final answer
    x = 13,308.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.