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Finding the Fourth Proportional to 17,347.45, 26,013.48 and 7,985.20

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Solution

The fourth proportional to 17,347.45, 26,013.48 and 7,985.20 is: 11,974.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,347.45 : 26,013.48 = 7,985.20 : x
  2. Step 2: Convert to fraction form
    17,347.45/26,013.48 = 7,985.20/x
  3. Step 3: Cross multiply
    17,347.45x = 26,013.48 × 7,985.20
  4. Step 4: Simplify right side
    17,347.45x = 207,722,840.50
  5. Step 5: Solve for x
    x = 207,722,840.50/17,347.45
  6. Step 6: Final answer
    x = 11,974.26

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Why These Related Problems?

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