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Finding the Fourth Proportional to 22,138.92, 33,205.95 and 13,802.40

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Solution

The fourth proportional to 22,138.92, 33,205.95 and 13,802.40 is: 20,702.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,138.92 : 33,205.95 = 13,802.40 : x
  2. Step 2: Convert to fraction form
    22,138.92/33,205.95 = 13,802.40/x
  3. Step 3: Cross multiply
    22,138.92x = 33,205.95 × 13,802.40
  4. Step 4: Simplify right side
    22,138.92x = 458,321,804.28
  5. Step 5: Solve for x
    x = 458,321,804.28/22,138.92
  6. Step 6: Final answer
    x = 20,702.09

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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.