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Finding the Fourth Proportional to 13,469.84, 18,573.52 and 9,221.60

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Solution

The fourth proportional to 13,469.84, 18,573.52 and 9,221.60 is: 12,715.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,469.84 : 18,573.52 = 9,221.60 : x
  2. Step 2: Convert to fraction form
    13,469.84/18,573.52 = 9,221.60/x
  3. Step 3: Cross multiply
    13,469.84x = 18,573.52 × 9,221.60
  4. Step 4: Simplify right side
    13,469.84x = 171,277,456.11
  5. Step 5: Solve for x
    x = 171,277,456.11/13,469.84
  6. Step 6: Final answer
    x = 12,715.62

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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.