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Finding the Fourth Proportional to 12,844.24, 17,719.80 and 8,653.84

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Solution

The fourth proportional to 12,844.24, 17,719.80 and 8,653.84 is: 11,938.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,844.24 : 17,719.80 = 8,653.84 : x
  2. Step 2: Convert to fraction form
    12,844.24/17,719.80 = 8,653.84/x
  3. Step 3: Cross multiply
    12,844.24x = 17,719.80 × 8,653.84
  4. Step 4: Simplify right side
    12,844.24x = 153,344,314.03
  5. Step 5: Solve for x
    x = 153,344,314.03/12,844.24
  6. Step 6: Final answer
    x = 11,938.76

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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.