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Finding the Fourth Proportional to 20,211.84, 27,896.64 and 13,584

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Solution

The fourth proportional to 20,211.84, 27,896.64 and 13,584 is: 18,748.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,211.84 : 27,896.64 = 13,584 : x
  2. Step 2: Convert to fraction form
    20,211.84/27,896.64 = 13,584/x
  3. Step 3: Cross multiply
    20,211.84x = 27,896.64 × 13,584
  4. Step 4: Simplify right side
    20,211.84x = 378,947,957.76
  5. Step 5: Solve for x
    x = 378,947,957.76/20,211.84
  6. Step 6: Final answer
    x = 18,748.81

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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.