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Finding the Fourth Proportional to 12,724.12, 17,559.38 and 7,059.23

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Solution

The fourth proportional to 12,724.12, 17,559.38 and 7,059.23 is: 9,741.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,724.12 : 17,559.38 = 7,059.23 : x
  2. Step 2: Convert to fraction form
    12,724.12/17,559.38 = 7,059.23/x
  3. Step 3: Cross multiply
    12,724.12x = 17,559.38 × 7,059.23
  4. Step 4: Simplify right side
    12,724.12x = 123,955,702.08
  5. Step 5: Solve for x
    x = 123,955,702.08/12,724.12
  6. Step 6: Final answer
    x = 9,741.79

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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.