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Finding the Fourth Proportional to 12,844.44, 17,718.76 and 8,375.68

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Solution

The fourth proportional to 12,844.44, 17,718.76 and 8,375.68 is: 11,554.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,844.44 : 17,718.76 = 8,375.68 : x
  2. Step 2: Convert to fraction form
    12,844.44/17,718.76 = 8,375.68/x
  3. Step 3: Cross multiply
    12,844.44x = 17,718.76 × 8,375.68
  4. Step 4: Simplify right side
    12,844.44x = 148,406,663.76
  5. Step 5: Solve for x
    x = 148,406,663.76/12,844.44
  6. Step 6: Final answer
    x = 11,554.16

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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.