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Finding the Fourth Proportional to 20,285.84, 27,961.00 and 13,569.05

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Solution

The fourth proportional to 20,285.84, 27,961.00 and 13,569.05 is: 18,702.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,285.84 : 27,961.00 = 13,569.05 : x
  2. Step 2: Convert to fraction form
    20,285.84/27,961.00 = 13,569.05/x
  3. Step 3: Cross multiply
    20,285.84x = 27,961.00 × 13,569.05
  4. Step 4: Simplify right side
    20,285.84x = 379,404,033.32
  5. Step 5: Solve for x
    x = 379,404,033.32/20,285.84
  6. Step 6: Final answer
    x = 18,702.90

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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.