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Finding the Fourth Proportional to 34,596.51, 51,902.07 and 11,221.14

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Solution

The fourth proportional to 34,596.51, 51,902.07 and 11,221.14 is: 16,834.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,596.51 : 51,902.07 = 11,221.14 : x
  2. Step 2: Convert to fraction form
    34,596.51/51,902.07 = 11,221.14/x
  3. Step 3: Cross multiply
    34,596.51x = 51,902.07 × 11,221.14
  4. Step 4: Simplify right side
    34,596.51x = 582,400,393.76
  5. Step 5: Solve for x
    x = 582,400,393.76/34,596.51
  6. Step 6: Final answer
    x = 16,834.08

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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.