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Finding the Fourth Proportional to 21,908.74, 32,849.07 and 9,255.06

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Solution

The fourth proportional to 21,908.74, 32,849.07 and 9,255.06 is: 13,876.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,908.74 : 32,849.07 = 9,255.06 : x
  2. Step 2: Convert to fraction form
    21,908.74/32,849.07 = 9,255.06/x
  3. Step 3: Cross multiply
    21,908.74x = 32,849.07 × 9,255.06
  4. Step 4: Simplify right side
    21,908.74x = 304,019,903.27
  5. Step 5: Solve for x
    x = 304,019,903.27/21,908.74
  6. Step 6: Final answer
    x = 13,876.65

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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.