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Finding the Fourth Proportional to 15,082.12, 22,642.70 and 11,621.64

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Solution

The fourth proportional to 15,082.12, 22,642.70 and 11,621.64 is: 17,447.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,082.12 : 22,642.70 = 11,621.64 : x
  2. Step 2: Convert to fraction form
    15,082.12/22,642.70 = 11,621.64/x
  3. Step 3: Cross multiply
    15,082.12x = 22,642.70 × 11,621.64
  4. Step 4: Simplify right side
    15,082.12x = 263,145,308.03
  5. Step 5: Solve for x
    x = 263,145,308.03/15,082.12
  6. Step 6: Final answer
    x = 17,447.50

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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.