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Finding the Fourth Proportional to 12,704.38, 17,531.56 and 7,039.01

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Solution

The fourth proportional to 12,704.38, 17,531.56 and 7,039.01 is: 9,713.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,704.38 : 17,531.56 = 7,039.01 : x
  2. Step 2: Convert to fraction form
    12,704.38/17,531.56 = 7,039.01/x
  3. Step 3: Cross multiply
    12,704.38x = 17,531.56 × 7,039.01
  4. Step 4: Simplify right side
    12,704.38x = 123,404,826.16
  5. Step 5: Solve for x
    x = 123,404,826.16/12,704.38
  6. Step 6: Final answer
    x = 9,713.57

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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.