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Finding the Fourth Proportional to 15,108, 20,845.88 and 9,138.50

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Solution

The fourth proportional to 15,108, 20,845.88 and 9,138.50 is: 12,609.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,108 : 20,845.88 = 9,138.50 : x
  2. Step 2: Convert to fraction form
    15,108/20,845.88 = 9,138.50/x
  3. Step 3: Cross multiply
    15,108x = 20,845.88 × 9,138.50
  4. Step 4: Simplify right side
    15,108x = 190,500,074.38
  5. Step 5: Solve for x
    x = 190,500,074.38/15,108
  6. Step 6: Final answer
    x = 12,609.22

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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.