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Finding the Fourth Proportional to 17,013.50, 25,514.34 and 6,480.98

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Solution

The fourth proportional to 17,013.50, 25,514.34 and 6,480.98 is: 9,719.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,013.50 : 25,514.34 = 6,480.98 : x
  2. Step 2: Convert to fraction form
    17,013.50/25,514.34 = 6,480.98/x
  3. Step 3: Cross multiply
    17,013.50x = 25,514.34 × 6,480.98
  4. Step 4: Simplify right side
    17,013.50x = 165,357,927.25
  5. Step 5: Solve for x
    x = 165,357,927.25/17,013.50
  6. Step 6: Final answer
    x = 9,719.22

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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.