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Finding the Fourth Proportional to 22,254, 30,711 and 12,318

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Solution

The fourth proportional to 22,254, 30,711 and 12,318 is: 16,999.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,254 : 30,711 = 12,318 : x
  2. Step 2: Convert to fraction form
    22,254/30,711 = 12,318/x
  3. Step 3: Cross multiply
    22,254x = 30,711 × 12,318
  4. Step 4: Simplify right side
    22,254x = 378,298,098
  5. Step 5: Solve for x
    x = 378,298,098/22,254
  6. Step 6: Final answer
    x = 16,999.11

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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.