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Finding the Fourth Proportional to 12,224.12, 18,318.18 and 5,461.50

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Solution

The fourth proportional to 12,224.12, 18,318.18 and 5,461.50 is: 8,184.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,224.12 : 18,318.18 = 5,461.50 : x
  2. Step 2: Convert to fraction form
    12,224.12/18,318.18 = 5,461.50/x
  3. Step 3: Cross multiply
    12,224.12x = 18,318.18 × 5,461.50
  4. Step 4: Simplify right side
    12,224.12x = 100,044,731.64
  5. Step 5: Solve for x
    x = 100,044,731.64/12,224.12
  6. Step 6: Final answer
    x = 8,184.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.