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Finding the Fourth Proportional to 21,398.44, 32,101.68 and 9,712.48

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Solution

The fourth proportional to 21,398.44, 32,101.68 and 9,712.48 is: 14,570.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,398.44 : 32,101.68 = 9,712.48 : x
  2. Step 2: Convert to fraction form
    21,398.44/32,101.68 = 9,712.48/x
  3. Step 3: Cross multiply
    21,398.44x = 32,101.68 × 9,712.48
  4. Step 4: Simplify right side
    21,398.44x = 311,786,924.97
  5. Step 5: Solve for x
    x = 311,786,924.97/21,398.44
  6. Step 6: Final answer
    x = 14,570.54

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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.