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Finding the Fourth Proportional to 12,212.10, 18,281.70 and 11,491.20

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Solution

The fourth proportional to 12,212.10, 18,281.70 and 11,491.20 is: 17,202.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,212.10 : 18,281.70 = 11,491.20 : x
  2. Step 2: Convert to fraction form
    12,212.10/18,281.70 = 11,491.20/x
  3. Step 3: Cross multiply
    12,212.10x = 18,281.70 × 11,491.20
  4. Step 4: Simplify right side
    12,212.10x = 210,078,671.04
  5. Step 5: Solve for x
    x = 210,078,671.04/12,212.10
  6. Step 6: Final answer
    x = 17,202.50

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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.