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Finding the Fourth Proportional to 13,493.12, 20,239.73 and 4,133.10

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Solution

The fourth proportional to 13,493.12, 20,239.73 and 4,133.10 is: 6,199.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,493.12 : 20,239.73 = 4,133.10 : x
  2. Step 2: Convert to fraction form
    13,493.12/20,239.73 = 4,133.10/x
  3. Step 3: Cross multiply
    13,493.12x = 20,239.73 × 4,133.10
  4. Step 4: Simplify right side
    13,493.12x = 83,652,828.06
  5. Step 5: Solve for x
    x = 83,652,828.06/13,493.12
  6. Step 6: Final answer
    x = 6,199.67

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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.