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Finding the Fourth Proportional to 12,568.96, 17,344.80 and 7,265.44

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Solution

The fourth proportional to 12,568.96, 17,344.80 and 7,265.44 is: 10,026.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,568.96 : 17,344.80 = 7,265.44 : x
  2. Step 2: Convert to fraction form
    12,568.96/17,344.80 = 7,265.44/x
  3. Step 3: Cross multiply
    12,568.96x = 17,344.80 × 7,265.44
  4. Step 4: Simplify right side
    12,568.96x = 126,017,603.71
  5. Step 5: Solve for x
    x = 126,017,603.71/12,568.96
  6. Step 6: Final answer
    x = 10,026.10

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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.