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Finding the Fourth Proportional to 13,115.34, 18,101.16 and 8,339.18

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Solution

The fourth proportional to 13,115.34, 18,101.16 and 8,339.18 is: 11,509.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,115.34 : 18,101.16 = 8,339.18 : x
  2. Step 2: Convert to fraction form
    13,115.34/18,101.16 = 8,339.18/x
  3. Step 3: Cross multiply
    13,115.34x = 18,101.16 × 8,339.18
  4. Step 4: Simplify right side
    13,115.34x = 150,948,740.94
  5. Step 5: Solve for x
    x = 150,948,740.94/13,115.34
  6. Step 6: Final answer
    x = 11,509.33

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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.