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Finding the Fourth Proportional to 29,758.12, 41,058.96 and 17,182.84

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Solution

The fourth proportional to 29,758.12, 41,058.96 and 17,182.84 is: 23,708.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,758.12 : 41,058.96 = 17,182.84 : x
  2. Step 2: Convert to fraction form
    29,758.12/41,058.96 = 17,182.84/x
  3. Step 3: Cross multiply
    29,758.12x = 41,058.96 × 17,182.84
  4. Step 4: Simplify right side
    29,758.12x = 705,509,540.25
  5. Step 5: Solve for x
    x = 705,509,540.25/29,758.12
  6. Step 6: Final answer
    x = 23,708.14

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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.