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Finding the Fourth Proportional to 12,526.17, 18,791.41 and 4,206.98

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Solution

The fourth proportional to 12,526.17, 18,791.41 and 4,206.98 is: 6,311.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,526.17 : 18,791.41 = 4,206.98 : x
  2. Step 2: Convert to fraction form
    12,526.17/18,791.41 = 4,206.98/x
  3. Step 3: Cross multiply
    12,526.17x = 18,791.41 × 4,206.98
  4. Step 4: Simplify right side
    12,526.17x = 79,055,086.04
  5. Step 5: Solve for x
    x = 79,055,086.04/12,526.17
  6. Step 6: Final answer
    x = 6,311.19

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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.