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Finding the Fourth Proportional to 13,537.04, 20,296.02 and 5,210.06

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Solution

The fourth proportional to 13,537.04, 20,296.02 and 5,210.06 is: 7,811.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,537.04 : 20,296.02 = 5,210.06 : x
  2. Step 2: Convert to fraction form
    13,537.04/20,296.02 = 5,210.06/x
  3. Step 3: Cross multiply
    13,537.04x = 20,296.02 × 5,210.06
  4. Step 4: Simplify right side
    13,537.04x = 105,743,481.96
  5. Step 5: Solve for x
    x = 105,743,481.96/13,537.04
  6. Step 6: Final answer
    x = 7,811.42

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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.