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Finding the Fourth Proportional to 13,206.99, 18,223.34 and 7,539.15

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Solution

The fourth proportional to 13,206.99, 18,223.34 and 7,539.15 is: 10,402.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,206.99 : 18,223.34 = 7,539.15 : x
  2. Step 2: Convert to fraction form
    13,206.99/18,223.34 = 7,539.15/x
  3. Step 3: Cross multiply
    13,206.99x = 18,223.34 × 7,539.15
  4. Step 4: Simplify right side
    13,206.99x = 137,388,456.07
  5. Step 5: Solve for x
    x = 137,388,456.07/13,206.99
  6. Step 6: Final answer
    x = 10,402.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.