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Finding the Fourth Proportional to 12,776.82, 19,111.77 and 8,257.02

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Solution

The fourth proportional to 12,776.82, 19,111.77 and 8,257.02 is: 12,350.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,776.82 : 19,111.77 = 8,257.02 : x
  2. Step 2: Convert to fraction form
    12,776.82/19,111.77 = 8,257.02/x
  3. Step 3: Cross multiply
    12,776.82x = 19,111.77 × 8,257.02
  4. Step 4: Simplify right side
    12,776.82x = 157,806,267.13
  5. Step 5: Solve for x
    x = 157,806,267.13/12,776.82
  6. Step 6: Final answer
    x = 12,350.98

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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.