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Finding the Fourth Proportional to 30,257.20, 41,754.92 and 17,009.20

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Solution

The fourth proportional to 30,257.20, 41,754.92 and 17,009.20 is: 23,472.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,257.20 : 41,754.92 = 17,009.20 : x
  2. Step 2: Convert to fraction form
    30,257.20/41,754.92 = 17,009.20/x
  3. Step 3: Cross multiply
    30,257.20x = 41,754.92 × 17,009.20
  4. Step 4: Simplify right side
    30,257.20x = 710,217,785.26
  5. Step 5: Solve for x
    x = 710,217,785.26/30,257.20
  6. Step 6: Final answer
    x = 23,472.69

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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.