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Finding the Fourth Proportional to 12,219.17, 18,333.95 and 8,274.87

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Solution

The fourth proportional to 12,219.17, 18,333.95 and 8,274.87 is: 12,415.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,219.17 : 18,333.95 = 8,274.87 : x
  2. Step 2: Convert to fraction form
    12,219.17/18,333.95 = 8,274.87/x
  3. Step 3: Cross multiply
    12,219.17x = 18,333.95 × 8,274.87
  4. Step 4: Simplify right side
    12,219.17x = 151,711,011.46
  5. Step 5: Solve for x
    x = 151,711,011.46/12,219.17
  6. Step 6: Final answer
    x = 12,415.82

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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.