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Finding the Fourth Proportional to 17,148.26, 23,641.92 and 12,364.20

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Solution

The fourth proportional to 17,148.26, 23,641.92 and 12,364.20 is: 17,046.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,148.26 : 23,641.92 = 12,364.20 : x
  2. Step 2: Convert to fraction form
    17,148.26/23,641.92 = 12,364.20/x
  3. Step 3: Cross multiply
    17,148.26x = 23,641.92 × 12,364.20
  4. Step 4: Simplify right side
    17,148.26x = 292,313,427.26
  5. Step 5: Solve for x
    x = 292,313,427.26/17,148.26
  6. Step 6: Final answer
    x = 17,046.25

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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.