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Finding the Fourth Proportional to 17,290.48, 23,863.13 and 9,738.29

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Solution

The fourth proportional to 17,290.48, 23,863.13 and 9,738.29 is: 13,440.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,290.48 : 23,863.13 = 9,738.29 : x
  2. Step 2: Convert to fraction form
    17,290.48/23,863.13 = 9,738.29/x
  3. Step 3: Cross multiply
    17,290.48x = 23,863.13 × 9,738.29
  4. Step 4: Simplify right side
    17,290.48x = 232,386,164.25
  5. Step 5: Solve for x
    x = 232,386,164.25/17,290.48
  6. Step 6: Final answer
    x = 13,440.12

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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.