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Finding the Fourth Proportional to 12,446.83, 18,691.55 and 8,313.40

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Solution

The fourth proportional to 12,446.83, 18,691.55 and 8,313.40 is: 12,484.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,446.83 : 18,691.55 = 8,313.40 : x
  2. Step 2: Convert to fraction form
    12,446.83/18,691.55 = 8,313.40/x
  3. Step 3: Cross multiply
    12,446.83x = 18,691.55 × 8,313.40
  4. Step 4: Simplify right side
    12,446.83x = 155,390,274.65
  5. Step 5: Solve for x
    x = 155,390,274.65/12,446.83
  6. Step 6: Final answer
    x = 12,484.33

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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.