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Finding the Fourth Proportional to 12,829.77, 19,219.05 and 8,433.90

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Solution

The fourth proportional to 12,829.77, 19,219.05 and 8,433.90 is: 12,634.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,829.77 : 19,219.05 = 8,433.90 : x
  2. Step 2: Convert to fraction form
    12,829.77/19,219.05 = 8,433.90/x
  3. Step 3: Cross multiply
    12,829.77x = 19,219.05 × 8,433.90
  4. Step 4: Simplify right side
    12,829.77x = 162,091,545.80
  5. Step 5: Solve for x
    x = 162,091,545.80/12,829.77
  6. Step 6: Final answer
    x = 12,634.02

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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.