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Finding the Fourth Proportional to 21,833.51, 32,722.86 and 9,338.85

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Solution

The fourth proportional to 21,833.51, 32,722.86 and 9,338.85 is: 13,996.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,833.51 : 32,722.86 = 9,338.85 : x
  2. Step 2: Convert to fraction form
    21,833.51/32,722.86 = 9,338.85/x
  3. Step 3: Cross multiply
    21,833.51x = 32,722.86 × 9,338.85
  4. Step 4: Simplify right side
    21,833.51x = 305,593,881.11
  5. Step 5: Solve for x
    x = 305,593,881.11/21,833.51
  6. Step 6: Final answer
    x = 13,996.55

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1.5x scale

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.