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Finding the Fourth Proportional to 12,840.27, 17,719.38 and 7,175.13

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Solution

The fourth proportional to 12,840.27, 17,719.38 and 7,175.13 is: 9,901.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,840.27 : 17,719.38 = 7,175.13 : x
  2. Step 2: Convert to fraction form
    12,840.27/17,719.38 = 7,175.13/x
  3. Step 3: Cross multiply
    12,840.27x = 17,719.38 × 7,175.13
  4. Step 4: Simplify right side
    12,840.27x = 127,138,855.02
  5. Step 5: Solve for x
    x = 127,138,855.02/12,840.27
  6. Step 6: Final answer
    x = 9,901.57

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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.