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Finding the Fourth Proportional to 20,294.31, 30,427.16 and 7,803.84

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Solution

The fourth proportional to 20,294.31, 30,427.16 and 7,803.84 is: 11,700.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,294.31 : 30,427.16 = 7,803.84 : x
  2. Step 2: Convert to fraction form
    20,294.31/30,427.16 = 7,803.84/x
  3. Step 3: Cross multiply
    20,294.31x = 30,427.16 × 7,803.84
  4. Step 4: Simplify right side
    20,294.31x = 237,448,649.28
  5. Step 5: Solve for x
    x = 237,448,649.28/20,294.31
  6. Step 6: Final answer
    x = 11,700.26

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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.