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Finding the Fourth Proportional to 17,407.68, 24,022.26 and 9,853.74

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Solution

The fourth proportional to 17,407.68, 24,022.26 and 9,853.74 is: 13,597.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,407.68 : 24,022.26 = 9,853.74 : x
  2. Step 2: Convert to fraction form
    17,407.68/24,022.26 = 9,853.74/x
  3. Step 3: Cross multiply
    17,407.68x = 24,022.26 × 9,853.74
  4. Step 4: Simplify right side
    17,407.68x = 236,709,104.25
  5. Step 5: Solve for x
    x = 236,709,104.25/17,407.68
  6. Step 6: Final answer
    x = 13,597.97

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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.