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Finding the Fourth Proportional to 13,658.84, 20,488.50 and 5,867.80

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Solution

The fourth proportional to 13,658.84, 20,488.50 and 5,867.80 is: 8,801.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,658.84 : 20,488.50 = 5,867.80 : x
  2. Step 2: Convert to fraction form
    13,658.84/20,488.50 = 5,867.80/x
  3. Step 3: Cross multiply
    13,658.84x = 20,488.50 × 5,867.80
  4. Step 4: Simplify right side
    13,658.84x = 120,222,420.30
  5. Step 5: Solve for x
    x = 120,222,420.30/13,658.84
  6. Step 6: Final answer
    x = 8,801.80

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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.