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Finding the Fourth Proportional to 22,405.42, 33,571.15 and 13,019.09

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Solution

The fourth proportional to 22,405.42, 33,571.15 and 13,019.09 is: 19,507.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,405.42 : 33,571.15 = 13,019.09 : x
  2. Step 2: Convert to fraction form
    22,405.42/33,571.15 = 13,019.09/x
  3. Step 3: Cross multiply
    22,405.42x = 33,571.15 × 13,019.09
  4. Step 4: Simplify right side
    22,405.42x = 437,065,823.25
  5. Step 5: Solve for x
    x = 437,065,823.25/22,405.42
  6. Step 6: Final answer
    x = 19,507.15

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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.