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Finding the Fourth Proportional to 12,482.44, 17,227.86 and 7,446.88

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Solution

The fourth proportional to 12,482.44, 17,227.86 and 7,446.88 is: 10,277.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,482.44 : 17,227.86 = 7,446.88 : x
  2. Step 2: Convert to fraction form
    12,482.44/17,227.86 = 7,446.88/x
  3. Step 3: Cross multiply
    12,482.44x = 17,227.86 × 7,446.88
  4. Step 4: Simplify right side
    12,482.44x = 128,293,806.08
  5. Step 5: Solve for x
    x = 128,293,806.08/12,482.44
  6. Step 6: Final answer
    x = 10,277.94

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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.