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Finding the Fourth Proportional to 13,353.65, 20,031.83 and 3,493.01

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Solution

The fourth proportional to 13,353.65, 20,031.83 and 3,493.01 is: 5,239.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,353.65 : 20,031.83 = 3,493.01 : x
  2. Step 2: Convert to fraction form
    13,353.65/20,031.83 = 3,493.01/x
  3. Step 3: Cross multiply
    13,353.65x = 20,031.83 × 3,493.01
  4. Step 4: Simplify right side
    13,353.65x = 69,971,428.22
  5. Step 5: Solve for x
    x = 69,971,428.22/13,353.65
  6. Step 6: Final answer
    x = 5,239.87

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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.