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Finding the Fourth Proportional to 12,882.62, 19,323.30 and 7,548.77

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Solution

The fourth proportional to 12,882.62, 19,323.30 and 7,548.77 is: 11,322.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,882.62 : 19,323.30 = 7,548.77 : x
  2. Step 2: Convert to fraction form
    12,882.62/19,323.30 = 7,548.77/x
  3. Step 3: Cross multiply
    12,882.62x = 19,323.30 × 7,548.77
  4. Step 4: Simplify right side
    12,882.62x = 145,867,050.72
  5. Step 5: Solve for x
    x = 145,867,050.72/12,882.62
  6. Step 6: Final answer
    x = 11,322.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.