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Finding the Fourth Proportional to 12,374.66, 18,566.11 and 8,231.00

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Solution

The fourth proportional to 12,374.66, 18,566.11 and 8,231.00 is: 12,349.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,374.66 : 18,566.11 = 8,231.00 : x
  2. Step 2: Convert to fraction form
    12,374.66/18,566.11 = 8,231.00/x
  3. Step 3: Cross multiply
    12,374.66x = 18,566.11 × 8,231.00
  4. Step 4: Simplify right side
    12,374.66x = 152,817,673.30
  5. Step 5: Solve for x
    x = 152,817,673.30/12,374.66
  6. Step 6: Final answer
    x = 12,349.25

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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.