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Finding the Fourth Proportional to 21,994.56, 32,971.80 and 11,452.17

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Solution

The fourth proportional to 21,994.56, 32,971.80 and 11,452.17 is: 17,167.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,994.56 : 32,971.80 = 11,452.17 : x
  2. Step 2: Convert to fraction form
    21,994.56/32,971.80 = 11,452.17/x
  3. Step 3: Cross multiply
    21,994.56x = 32,971.80 × 11,452.17
  4. Step 4: Simplify right side
    21,994.56x = 377,598,658.81
  5. Step 5: Solve for x
    x = 377,598,658.81/21,994.56
  6. Step 6: Final answer
    x = 17,167.82

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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.