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Finding the Fourth Proportional to 12,642.92, 17,446.02 and 7,054.28

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Solution

The fourth proportional to 12,642.92, 17,446.02 and 7,054.28 is: 9,734.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,642.92 : 17,446.02 = 7,054.28 : x
  2. Step 2: Convert to fraction form
    12,642.92/17,446.02 = 7,054.28/x
  3. Step 3: Cross multiply
    12,642.92x = 17,446.02 × 7,054.28
  4. Step 4: Simplify right side
    12,642.92x = 123,069,109.97
  5. Step 5: Solve for x
    x = 123,069,109.97/12,642.92
  6. Step 6: Final answer
    x = 9,734.23

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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.