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Finding the Fourth Proportional to 22,257.14, 30,715.20 and 12,185.40

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Solution

The fourth proportional to 22,257.14, 30,715.20 and 12,185.40 is: 16,816.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,257.14 : 30,715.20 = 12,185.40 : x
  2. Step 2: Convert to fraction form
    22,257.14/30,715.20 = 12,185.40/x
  3. Step 3: Cross multiply
    22,257.14x = 30,715.20 × 12,185.40
  4. Step 4: Simplify right side
    22,257.14x = 374,276,998.08
  5. Step 5: Solve for x
    x = 374,276,998.08/22,257.14
  6. Step 6: Final answer
    x = 16,816.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.