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Finding the Fourth Proportional to 21,843.47, 32,772.17 and 7,803.20

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Solution

The fourth proportional to 21,843.47, 32,772.17 and 7,803.20 is: 11,707.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,843.47 : 32,772.17 = 7,803.20 : x
  2. Step 2: Convert to fraction form
    21,843.47/32,772.17 = 7,803.20/x
  3. Step 3: Cross multiply
    21,843.47x = 32,772.17 × 7,803.20
  4. Step 4: Simplify right side
    21,843.47x = 255,727,652.59
  5. Step 5: Solve for x
    x = 255,727,652.59/21,843.47
  6. Step 6: Final answer
    x = 11,707.28

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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.