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Finding the Fourth Proportional to 24,111, 36,186.12 and 12,427.56

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Solution

The fourth proportional to 24,111, 36,186.12 and 12,427.56 is: 18,651.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,111 : 36,186.12 = 12,427.56 : x
  2. Step 2: Convert to fraction form
    24,111/36,186.12 = 12,427.56/x
  3. Step 3: Cross multiply
    24,111x = 36,186.12 × 12,427.56
  4. Step 4: Simplify right side
    24,111x = 449,705,177.47
  5. Step 5: Solve for x
    x = 449,705,177.47/24,111
  6. Step 6: Final answer
    x = 18,651.45

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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.