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Finding the Fourth Proportional to 22,827.60, 34,194.22 and 13,438.69

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Solution

The fourth proportional to 22,827.60, 34,194.22 and 13,438.69 is: 20,130.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,827.60 : 34,194.22 = 13,438.69 : x
  2. Step 2: Convert to fraction form
    22,827.60/34,194.22 = 13,438.69/x
  3. Step 3: Cross multiply
    22,827.60x = 34,194.22 × 13,438.69
  4. Step 4: Simplify right side
    22,827.60x = 459,525,351.40
  5. Step 5: Solve for x
    x = 459,525,351.40/22,827.60
  6. Step 6: Final answer
    x = 20,130.26

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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.