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Finding the Fourth Proportional to 19,743, 27,257.76 and 12,681.72

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Solution

The fourth proportional to 19,743, 27,257.76 and 12,681.72 is: 17,508.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,743 : 27,257.76 = 12,681.72 : x
  2. Step 2: Convert to fraction form
    19,743/27,257.76 = 12,681.72/x
  3. Step 3: Cross multiply
    19,743x = 27,257.76 × 12,681.72
  4. Step 4: Simplify right side
    19,743x = 345,675,280.15
  5. Step 5: Solve for x
    x = 345,675,280.15/19,743
  6. Step 6: Final answer
    x = 17,508.75

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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.