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Finding the Fourth Proportional to 21,598.31, 32,397.47 and 9,286.31

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Solution

The fourth proportional to 21,598.31, 32,397.47 and 9,286.31 is: 13,929.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,598.31 : 32,397.47 = 9,286.31 : x
  2. Step 2: Convert to fraction form
    21,598.31/32,397.47 = 9,286.31/x
  3. Step 3: Cross multiply
    21,598.31x = 32,397.47 × 9,286.31
  4. Step 4: Simplify right side
    21,598.31x = 300,853,053.85
  5. Step 5: Solve for x
    x = 300,853,053.85/21,598.31
  6. Step 6: Final answer
    x = 13,929.47

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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.