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Finding the Fourth Proportional to 17,022.24, 25,531.20 and 5,335.20

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Solution

The fourth proportional to 17,022.24, 25,531.20 and 5,335.20 is: 8,002.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,022.24 : 25,531.20 = 5,335.20 : x
  2. Step 2: Convert to fraction form
    17,022.24/25,531.20 = 5,335.20/x
  3. Step 3: Cross multiply
    17,022.24x = 25,531.20 × 5,335.20
  4. Step 4: Simplify right side
    17,022.24x = 136,214,058.24
  5. Step 5: Solve for x
    x = 136,214,058.24/17,022.24
  6. Step 6: Final answer
    x = 8,002.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.