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Finding the Fourth Proportional to 22,309.51, 33,464.85 and 6,513.88

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Solution

The fourth proportional to 22,309.51, 33,464.85 and 6,513.88 is: 9,770.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,309.51 : 33,464.85 = 6,513.88 : x
  2. Step 2: Convert to fraction form
    22,309.51/33,464.85 = 6,513.88/x
  3. Step 3: Cross multiply
    22,309.51x = 33,464.85 × 6,513.88
  4. Step 4: Simplify right side
    22,309.51x = 217,986,017.12
  5. Step 5: Solve for x
    x = 217,986,017.12/22,309.51
  6. Step 6: Final answer
    x = 9,770.99

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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.