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Finding the Fourth Proportional to 22,201.74, 30,641.34 and 14,136.21

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Solution

The fourth proportional to 22,201.74, 30,641.34 and 14,136.21 is: 19,509.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,201.74 : 30,641.34 = 14,136.21 : x
  2. Step 2: Convert to fraction form
    22,201.74/30,641.34 = 14,136.21/x
  3. Step 3: Cross multiply
    22,201.74x = 30,641.34 × 14,136.21
  4. Step 4: Simplify right side
    22,201.74x = 433,152,416.92
  5. Step 5: Solve for x
    x = 433,152,416.92/22,201.74
  6. Step 6: Final answer
    x = 19,509.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.