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Finding the Fourth Proportional to 12,531.59, 17,293.38 and 6,866.28

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Solution

The fourth proportional to 12,531.59, 17,293.38 and 6,866.28 is: 9,475.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,531.59 : 17,293.38 = 6,866.28 : x
  2. Step 2: Convert to fraction form
    12,531.59/17,293.38 = 6,866.28/x
  3. Step 3: Cross multiply
    12,531.59x = 17,293.38 × 6,866.28
  4. Step 4: Simplify right side
    12,531.59x = 118,741,189.23
  5. Step 5: Solve for x
    x = 118,741,189.23/12,531.59
  6. Step 6: Final answer
    x = 9,475.35

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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.