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Finding the Fourth Proportional to 13,266, 19,898.88 and 5,474.88

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Solution

The fourth proportional to 13,266, 19,898.88 and 5,474.88 is: 8,212.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,266 : 19,898.88 = 5,474.88 : x
  2. Step 2: Convert to fraction form
    13,266/19,898.88 = 5,474.88/x
  3. Step 3: Cross multiply
    13,266x = 19,898.88 × 5,474.88
  4. Step 4: Simplify right side
    13,266x = 108,943,980.13
  5. Step 5: Solve for x
    x = 108,943,980.13/13,266
  6. Step 6: Final answer
    x = 8,212.27

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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.