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Finding the Fourth Proportional to 12,919.54, 17,829.30 and 7,254.74

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Solution

The fourth proportional to 12,919.54, 17,829.30 and 7,254.74 is: 10,011.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,919.54 : 17,829.30 = 7,254.74 : x
  2. Step 2: Convert to fraction form
    12,919.54/17,829.30 = 7,254.74/x
  3. Step 3: Cross multiply
    12,919.54x = 17,829.30 × 7,254.74
  4. Step 4: Simplify right side
    12,919.54x = 129,346,935.88
  5. Step 5: Solve for x
    x = 129,346,935.88/12,919.54
  6. Step 6: Final answer
    x = 10,011.73

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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.