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Finding the Fourth Proportional to 12,206.71, 18,307.50 and 3,439.27

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Solution

The fourth proportional to 12,206.71, 18,307.50 and 3,439.27 is: 5,158.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206.71 : 18,307.50 = 3,439.27 : x
  2. Step 2: Convert to fraction form
    12,206.71/18,307.50 = 3,439.27/x
  3. Step 3: Cross multiply
    12,206.71x = 18,307.50 × 3,439.27
  4. Step 4: Simplify right side
    12,206.71x = 62,964,435.53
  5. Step 5: Solve for x
    x = 62,964,435.53/12,206.71
  6. Step 6: Final answer
    x = 5,158.18

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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.