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Finding the Fourth Proportional to 12,314.02, 18,464.55 and 8,419.54

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Solution

The fourth proportional to 12,314.02, 18,464.55 and 8,419.54 is: 12,624.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,314.02 : 18,464.55 = 8,419.54 : x
  2. Step 2: Convert to fraction form
    12,314.02/18,464.55 = 8,419.54/x
  3. Step 3: Cross multiply
    12,314.02x = 18,464.55 × 8,419.54
  4. Step 4: Simplify right side
    12,314.02x = 155,463,017.31
  5. Step 5: Solve for x
    x = 155,463,017.31/12,314.02
  6. Step 6: Final answer
    x = 12,624.88

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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.