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Finding the Fourth Proportional to 11,601.22, 17,362.95 and 9,521.14

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Solution

The fourth proportional to 11,601.22, 17,362.95 and 9,521.14 is: 14,249.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,601.22 : 17,362.95 = 9,521.14 : x
  2. Step 2: Convert to fraction form
    11,601.22/17,362.95 = 9,521.14/x
  3. Step 3: Cross multiply
    11,601.22x = 17,362.95 × 9,521.14
  4. Step 4: Simplify right side
    11,601.22x = 165,315,077.76
  5. Step 5: Solve for x
    x = 165,315,077.76/11,601.22
  6. Step 6: Final answer
    x = 14,249.80

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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.