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Finding the Fourth Proportional to 12,919.72, 17,827.68 and 7,254.76

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Solution

The fourth proportional to 12,919.72, 17,827.68 and 7,254.76 is: 10,010.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,919.72 : 17,827.68 = 7,254.76 : x
  2. Step 2: Convert to fraction form
    12,919.72/17,827.68 = 7,254.76/x
  3. Step 3: Cross multiply
    12,919.72x = 17,827.68 × 7,254.76
  4. Step 4: Simplify right side
    12,919.72x = 129,335,539.76
  5. Step 5: Solve for x
    x = 129,335,539.76/12,919.72
  6. Step 6: Final answer
    x = 10,010.71

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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.