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Finding the Fourth Proportional to 13,720, 18,933.60 and 8,132.08

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Solution

The fourth proportional to 13,720, 18,933.60 and 8,132.08 is: 11,222.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,720 : 18,933.60 = 8,132.08 : x
  2. Step 2: Convert to fraction form
    13,720/18,933.60 = 8,132.08/x
  3. Step 3: Cross multiply
    13,720x = 18,933.60 × 8,132.08
  4. Step 4: Simplify right side
    13,720x = 153,969,549.89
  5. Step 5: Solve for x
    x = 153,969,549.89/13,720
  6. Step 6: Final answer
    x = 11,222.27

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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.