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Finding the Fourth Proportional to 21,496.40, 32,233.80 and 9,796.40

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Solution

The fourth proportional to 21,496.40, 32,233.80 and 9,796.40 is: 14,689.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,496.40 : 32,233.80 = 9,796.40 : x
  2. Step 2: Convert to fraction form
    21,496.40/32,233.80 = 9,796.40/x
  3. Step 3: Cross multiply
    21,496.40x = 32,233.80 × 9,796.40
  4. Step 4: Simplify right side
    21,496.40x = 315,775,198.32
  5. Step 5: Solve for x
    x = 315,775,198.32/21,496.40
  6. Step 6: Final answer
    x = 14,689.68

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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.