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Finding the Fourth Proportional to 15,169.56, 22,758.66 and 5,311.32

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Solution

The fourth proportional to 15,169.56, 22,758.66 and 5,311.32 is: 7,968.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,169.56 : 22,758.66 = 5,311.32 : x
  2. Step 2: Convert to fraction form
    15,169.56/22,758.66 = 5,311.32/x
  3. Step 3: Cross multiply
    15,169.56x = 22,758.66 × 5,311.32
  4. Step 4: Simplify right side
    15,169.56x = 120,878,526.03
  5. Step 5: Solve for x
    x = 120,878,526.03/15,169.56
  6. Step 6: Final answer
    x = 7,968.49

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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.