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Finding the Fourth Proportional to 17,806.23, 26,715.54 and 6,716.10

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Solution

The fourth proportional to 17,806.23, 26,715.54 and 6,716.10 is: 10,076.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,806.23 : 26,715.54 = 6,716.10 : x
  2. Step 2: Convert to fraction form
    17,806.23/26,715.54 = 6,716.10/x
  3. Step 3: Cross multiply
    17,806.23x = 26,715.54 × 6,716.10
  4. Step 4: Simplify right side
    17,806.23x = 179,424,238.19
  5. Step 5: Solve for x
    x = 179,424,238.19/17,806.23
  6. Step 6: Final answer
    x = 10,076.49

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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.