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Finding the Fourth Proportional to 13,122.25, 19,670.99 and 5,229.65

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Solution

The fourth proportional to 13,122.25, 19,670.99 and 5,229.65 is: 7,839.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,122.25 : 19,670.99 = 5,229.65 : x
  2. Step 2: Convert to fraction form
    13,122.25/19,670.99 = 5,229.65/x
  3. Step 3: Cross multiply
    13,122.25x = 19,670.99 × 5,229.65
  4. Step 4: Simplify right side
    13,122.25x = 102,872,281.42
  5. Step 5: Solve for x
    x = 102,872,281.42/13,122.25
  6. Step 6: Final answer
    x = 7,839.53

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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.