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Finding the Fourth Proportional to 12,713.12, 17,543.40 and 7,047.68

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Solution

The fourth proportional to 12,713.12, 17,543.40 and 7,047.68 is: 9,725.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,713.12 : 17,543.40 = 7,047.68 : x
  2. Step 2: Convert to fraction form
    12,713.12/17,543.40 = 7,047.68/x
  3. Step 3: Cross multiply
    12,713.12x = 17,543.40 × 7,047.68
  4. Step 4: Simplify right side
    12,713.12x = 123,640,269.31
  5. Step 5: Solve for x
    x = 123,640,269.31/12,713.12
  6. Step 6: Final answer
    x = 9,725.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.