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Finding the Fourth Proportional to 12,801.13, 17,658.75 and 8,824.30

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Solution

The fourth proportional to 12,801.13, 17,658.75 and 8,824.30 is: 12,172.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,801.13 : 17,658.75 = 8,824.30 : x
  2. Step 2: Convert to fraction form
    12,801.13/17,658.75 = 8,824.30/x
  3. Step 3: Cross multiply
    12,801.13x = 17,658.75 × 8,824.30
  4. Step 4: Simplify right side
    12,801.13x = 155,826,107.63
  5. Step 5: Solve for x
    x = 155,826,107.63/12,801.13
  6. Step 6: Final answer
    x = 12,172.84

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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.