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Finding the Fourth Proportional to 13,222.32, 18,246.48 and 8,506.59

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Solution

The fourth proportional to 13,222.32, 18,246.48 and 8,506.59 is: 11,738.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,222.32 : 18,246.48 = 8,506.59 : x
  2. Step 2: Convert to fraction form
    13,222.32/18,246.48 = 8,506.59/x
  3. Step 3: Cross multiply
    13,222.32x = 18,246.48 × 8,506.59
  4. Step 4: Simplify right side
    13,222.32x = 155,215,324.30
  5. Step 5: Solve for x
    x = 155,215,324.30/13,222.32
  6. Step 6: Final answer
    x = 11,738.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.