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Finding the Fourth Proportional to 12,131.74, 18,191.84 and 4,233.30

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Solution

The fourth proportional to 12,131.74, 18,191.84 and 4,233.30 is: 6,347.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,131.74 : 18,191.84 = 4,233.30 : x
  2. Step 2: Convert to fraction form
    12,131.74/18,191.84 = 4,233.30/x
  3. Step 3: Cross multiply
    12,131.74x = 18,191.84 × 4,233.30
  4. Step 4: Simplify right side
    12,131.74x = 77,011,463.19
  5. Step 5: Solve for x
    x = 77,011,463.19/12,131.74
  6. Step 6: Final answer
    x = 6,347.93

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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.