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Finding the Fourth Proportional to 13,257.99, 18,289.11 and 8,220.60

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Solution

The fourth proportional to 13,257.99, 18,289.11 and 8,220.60 is: 11,340.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,257.99 : 18,289.11 = 8,220.60 : x
  2. Step 2: Convert to fraction form
    13,257.99/18,289.11 = 8,220.60/x
  3. Step 3: Cross multiply
    13,257.99x = 18,289.11 × 8,220.60
  4. Step 4: Simplify right side
    13,257.99x = 150,347,457.67
  5. Step 5: Solve for x
    x = 150,347,457.67/13,257.99
  6. Step 6: Final answer
    x = 11,340.14

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Why These Related Problems?

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