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Finding the Fourth Proportional to 11,523.78, 17,297.69 and 10,215.90

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Solution

The fourth proportional to 11,523.78, 17,297.69 and 10,215.90 is: 15,334.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,523.78 : 17,297.69 = 10,215.90 : x
  2. Step 2: Convert to fraction form
    11,523.78/17,297.69 = 10,215.90/x
  3. Step 3: Cross multiply
    11,523.78x = 17,297.69 × 10,215.90
  4. Step 4: Simplify right side
    11,523.78x = 176,711,420.19
  5. Step 5: Solve for x
    x = 176,711,420.19/11,523.78
  6. Step 6: Final answer
    x = 15,334.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.