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Finding the Fourth Proportional to 13,242.76, 18,270.34 and 8,211.08

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Solution

The fourth proportional to 13,242.76, 18,270.34 and 8,211.08 is: 11,328.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,242.76 : 18,270.34 = 8,211.08 : x
  2. Step 2: Convert to fraction form
    13,242.76/18,270.34 = 8,211.08/x
  3. Step 3: Cross multiply
    13,242.76x = 18,270.34 × 8,211.08
  4. Step 4: Simplify right side
    13,242.76x = 150,019,223.37
  5. Step 5: Solve for x
    x = 150,019,223.37/13,242.76
  6. Step 6: Final answer
    x = 11,328.40

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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.