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Finding the Fourth Proportional to 12,373.50, 18,513.75 and 8,682.93

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Solution

The fourth proportional to 12,373.50, 18,513.75 and 8,682.93 is: 12,991.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,373.50 : 18,513.75 = 8,682.93 : x
  2. Step 2: Convert to fraction form
    12,373.50/18,513.75 = 8,682.93/x
  3. Step 3: Cross multiply
    12,373.50x = 18,513.75 × 8,682.93
  4. Step 4: Simplify right side
    12,373.50x = 160,753,595.29
  5. Step 5: Solve for x
    x = 160,753,595.29/12,373.50
  6. Step 6: Final answer
    x = 12,991.76

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Why These Related Problems?

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