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Finding the Fourth Proportional to 12,171.87, 18,257.13 and 7,492.77

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Solution

The fourth proportional to 12,171.87, 18,257.13 and 7,492.77 is: 11,238.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,171.87 : 18,257.13 = 7,492.77 : x
  2. Step 2: Convert to fraction form
    12,171.87/18,257.13 = 7,492.77/x
  3. Step 3: Cross multiply
    12,171.87x = 18,257.13 × 7,492.77
  4. Step 4: Simplify right side
    12,171.87x = 136,796,475.95
  5. Step 5: Solve for x
    x = 136,796,475.95/12,171.87
  6. Step 6: Final answer
    x = 11,238.74

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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.