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Finding the Fourth Proportional to 17,171.02, 25,763.16 and 6,638.12

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Solution

The fourth proportional to 17,171.02, 25,763.16 and 6,638.12 is: 9,959.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,171.02 : 25,763.16 = 6,638.12 : x
  2. Step 2: Convert to fraction form
    17,171.02/25,763.16 = 6,638.12/x
  3. Step 3: Cross multiply
    17,171.02x = 25,763.16 × 6,638.12
  4. Step 4: Simplify right side
    17,171.02x = 171,018,947.66
  5. Step 5: Solve for x
    x = 171,018,947.66/17,171.02
  6. Step 6: Final answer
    x = 9,959.74

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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.