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Finding the Fourth Proportional to 22,794.90, 31,462.21 and 13,366.50

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Solution

The fourth proportional to 22,794.90, 31,462.21 and 13,366.50 is: 18,448.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,794.90 : 31,462.21 = 13,366.50 : x
  2. Step 2: Convert to fraction form
    22,794.90/31,462.21 = 13,366.50/x
  3. Step 3: Cross multiply
    22,794.90x = 31,462.21 × 13,366.50
  4. Step 4: Simplify right side
    22,794.90x = 420,539,453.50
  5. Step 5: Solve for x
    x = 420,539,453.50/22,794.90
  6. Step 6: Final answer
    x = 18,448.84

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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.