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Finding the Fourth Proportional to 14,536.97, 21,806.13 and 5,177.06

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Solution

The fourth proportional to 14,536.97, 21,806.13 and 5,177.06 is: 7,765.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,536.97 : 21,806.13 = 5,177.06 : x
  2. Step 2: Convert to fraction form
    14,536.97/21,806.13 = 5,177.06/x
  3. Step 3: Cross multiply
    14,536.97x = 21,806.13 × 5,177.06
  4. Step 4: Simplify right side
    14,536.97x = 112,891,617.49
  5. Step 5: Solve for x
    x = 112,891,617.49/14,536.97
  6. Step 6: Final answer
    x = 7,765.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.