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Finding the Fourth Proportional to 21,843.24, 32,771.79 and 7,802.97

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Solution

The fourth proportional to 21,843.24, 32,771.79 and 7,802.97 is: 11,706.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,843.24 : 32,771.79 = 7,802.97 : x
  2. Step 2: Convert to fraction form
    21,843.24/32,771.79 = 7,802.97/x
  3. Step 3: Cross multiply
    21,843.24x = 32,771.79 × 7,802.97
  4. Step 4: Simplify right side
    21,843.24x = 255,717,171.32
  5. Step 5: Solve for x
    x = 255,717,171.32/21,843.24
  6. Step 6: Final answer
    x = 11,706.93

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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.