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Finding the Fourth Proportional to 12,344.24, 17,043 and 11,015.66

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Solution

The fourth proportional to 12,344.24, 17,043 and 11,015.66 is: 15,208.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,344.24 : 17,043 = 11,015.66 : x
  2. Step 2: Convert to fraction form
    12,344.24/17,043 = 11,015.66/x
  3. Step 3: Cross multiply
    12,344.24x = 17,043 × 11,015.66
  4. Step 4: Simplify right side
    12,344.24x = 187,739,893.38
  5. Step 5: Solve for x
    x = 187,739,893.38/12,344.24
  6. Step 6: Final answer
    x = 15,208.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.