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Finding the Fourth Proportional to 13,122.66, 18,109.33 and 8,409.68

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Solution

The fourth proportional to 13,122.66, 18,109.33 and 8,409.68 is: 11,605.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,122.66 : 18,109.33 = 8,409.68 : x
  2. Step 2: Convert to fraction form
    13,122.66/18,109.33 = 8,409.68/x
  3. Step 3: Cross multiply
    13,122.66x = 18,109.33 × 8,409.68
  4. Step 4: Simplify right side
    13,122.66x = 152,293,558.74
  5. Step 5: Solve for x
    x = 152,293,558.74/13,122.66
  6. Step 6: Final answer
    x = 11,605.39

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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.