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Finding the Fourth Proportional to 17,806.64, 26,716.10 and 6,716.50

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Solution

The fourth proportional to 17,806.64, 26,716.10 and 6,716.50 is: 10,077.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,806.64 : 26,716.10 = 6,716.50 : x
  2. Step 2: Convert to fraction form
    17,806.64/26,716.10 = 6,716.50/x
  3. Step 3: Cross multiply
    17,806.64x = 26,716.10 × 6,716.50
  4. Step 4: Simplify right side
    17,806.64x = 179,438,585.28
  5. Step 5: Solve for x
    x = 179,438,585.28/17,806.64
  6. Step 6: Final answer
    x = 10,077.06

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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.