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Finding the Fourth Proportional to 16,711.82, 25,055.82 and 8,385.83

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Solution

The fourth proportional to 16,711.82, 25,055.82 and 8,385.83 is: 12,572.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,711.82 : 25,055.82 = 8,385.83 : x
  2. Step 2: Convert to fraction form
    16,711.82/25,055.82 = 8,385.83/x
  3. Step 3: Cross multiply
    16,711.82x = 25,055.82 × 8,385.83
  4. Step 4: Simplify right side
    16,711.82x = 210,113,847.03
  5. Step 5: Solve for x
    x = 210,113,847.03/16,711.82
  6. Step 6: Final answer
    x = 12,572.77

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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.