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Finding the Fourth Proportional to 12,319.96, 18,463.86 and 5,654.04

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Solution

The fourth proportional to 12,319.96, 18,463.86 and 5,654.04 is: 8,473.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,319.96 : 18,463.86 = 5,654.04 : x
  2. Step 2: Convert to fraction form
    12,319.96/18,463.86 = 5,654.04/x
  3. Step 3: Cross multiply
    12,319.96x = 18,463.86 × 5,654.04
  4. Step 4: Simplify right side
    12,319.96x = 104,395,402.99
  5. Step 5: Solve for x
    x = 104,395,402.99/12,319.96
  6. Step 6: Final answer
    x = 8,473.68

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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.