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Finding the Fourth Proportional to 12,152.74, 18,231.90 and 6,308.06

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Solution

The fourth proportional to 12,152.74, 18,231.90 and 6,308.06 is: 9,463.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,152.74 : 18,231.90 = 6,308.06 : x
  2. Step 2: Convert to fraction form
    12,152.74/18,231.90 = 6,308.06/x
  3. Step 3: Cross multiply
    12,152.74x = 18,231.90 × 6,308.06
  4. Step 4: Simplify right side
    12,152.74x = 115,007,919.11
  5. Step 5: Solve for x
    x = 115,007,919.11/12,152.74
  6. Step 6: Final answer
    x = 9,463.54

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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.