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Finding the Fourth Proportional to 12,844, 17,724.84 and 7,255.12

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Solution

The fourth proportional to 12,844, 17,724.84 and 7,255.12 is: 10,012.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,844 : 17,724.84 = 7,255.12 : x
  2. Step 2: Convert to fraction form
    12,844/17,724.84 = 7,255.12/x
  3. Step 3: Cross multiply
    12,844x = 17,724.84 × 7,255.12
  4. Step 4: Simplify right side
    12,844x = 128,595,841.18
  5. Step 5: Solve for x
    x = 128,595,841.18/12,844
  6. Step 6: Final answer
    x = 10,012.13

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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.