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Finding the Fourth Proportional to 17,969.77, 26,954.66 and 9,199.90

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Solution

The fourth proportional to 17,969.77, 26,954.66 and 9,199.90 is: 13,799.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,969.77 : 26,954.66 = 9,199.90 : x
  2. Step 2: Convert to fraction form
    17,969.77/26,954.66 = 9,199.90/x
  3. Step 3: Cross multiply
    17,969.77x = 26,954.66 × 9,199.90
  4. Step 4: Simplify right side
    17,969.77x = 247,980,176.53
  5. Step 5: Solve for x
    x = 247,980,176.53/17,969.77
  6. Step 6: Final answer
    x = 13,799.85

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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.