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Finding the Fourth Proportional to 15,102.43, 20,842.99 and 9,137.39

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Solution

The fourth proportional to 15,102.43, 20,842.99 and 9,137.39 is: 12,610.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,102.43 : 20,842.99 = 9,137.39 : x
  2. Step 2: Convert to fraction form
    15,102.43/20,842.99 = 9,137.39/x
  3. Step 3: Cross multiply
    15,102.43x = 20,842.99 × 9,137.39
  4. Step 4: Simplify right side
    15,102.43x = 190,450,401.34
  5. Step 5: Solve for x
    x = 190,450,401.34/15,102.43
  6. Step 6: Final answer
    x = 12,610.58

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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.