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Finding the Fourth Proportional to 22,307.69, 33,464.63 and 7,520.84

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Solution

The fourth proportional to 22,307.69, 33,464.63 and 7,520.84 is: 11,282.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,307.69 : 33,464.63 = 7,520.84 : x
  2. Step 2: Convert to fraction form
    22,307.69/33,464.63 = 7,520.84/x
  3. Step 3: Cross multiply
    22,307.69x = 33,464.63 × 7,520.84
  4. Step 4: Simplify right side
    22,307.69x = 251,682,062.56
  5. Step 5: Solve for x
    x = 251,682,062.56/22,307.69
  6. Step 6: Final answer
    x = 11,282.30

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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.