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Finding the Fourth Proportional to 12,547.26, 17,315.97 and 7,171.38

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Solution

The fourth proportional to 12,547.26, 17,315.97 and 7,171.38 is: 9,896.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,547.26 : 17,315.97 = 7,171.38 : x
  2. Step 2: Convert to fraction form
    12,547.26/17,315.97 = 7,171.38/x
  3. Step 3: Cross multiply
    12,547.26x = 17,315.97 × 7,171.38
  4. Step 4: Simplify right side
    12,547.26x = 124,179,400.94
  5. Step 5: Solve for x
    x = 124,179,400.94/12,547.26
  6. Step 6: Final answer
    x = 9,896.93

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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.