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Finding the Fourth Proportional to 14,526.86, 21,791.28 and 6,206.84

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Solution

The fourth proportional to 14,526.86, 21,791.28 and 6,206.84 is: 9,310.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,526.86 : 21,791.28 = 6,206.84 : x
  2. Step 2: Convert to fraction form
    14,526.86/21,791.28 = 6,206.84/x
  3. Step 3: Cross multiply
    14,526.86x = 21,791.28 × 6,206.84
  4. Step 4: Simplify right side
    14,526.86x = 135,255,072.05
  5. Step 5: Solve for x
    x = 135,255,072.05/14,526.86
  6. Step 6: Final answer
    x = 9,310.69

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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.