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Finding the Fourth Proportional to 13,227.60, 19,855.98 and 6,652.02

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Solution

The fourth proportional to 13,227.60, 19,855.98 and 6,652.02 is: 9,985.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,227.60 : 19,855.98 = 6,652.02 : x
  2. Step 2: Convert to fraction form
    13,227.60/19,855.98 = 6,652.02/x
  3. Step 3: Cross multiply
    13,227.60x = 19,855.98 × 6,652.02
  4. Step 4: Simplify right side
    13,227.60x = 132,082,376.08
  5. Step 5: Solve for x
    x = 132,082,376.08/13,227.60
  6. Step 6: Final answer
    x = 9,985.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.