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Finding the Fourth Proportional to 12,114.52, 18,178.79 and 5,093.98

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Solution

The fourth proportional to 12,114.52, 18,178.79 and 5,093.98 is: 7,643.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,114.52 : 18,178.79 = 5,093.98 : x
  2. Step 2: Convert to fraction form
    12,114.52/18,178.79 = 5,093.98/x
  3. Step 3: Cross multiply
    12,114.52x = 18,178.79 × 5,093.98
  4. Step 4: Simplify right side
    12,114.52x = 92,602,392.68
  5. Step 5: Solve for x
    x = 92,602,392.68/12,114.52
  6. Step 6: Final answer
    x = 7,643.92

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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.