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Finding the Fourth Proportional to 21,882.42, 30,197.70 and 11,946.42

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Solution

The fourth proportional to 21,882.42, 30,197.70 and 11,946.42 is: 16,486.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,882.42 : 30,197.70 = 11,946.42 : x
  2. Step 2: Convert to fraction form
    21,882.42/30,197.70 = 11,946.42/x
  3. Step 3: Cross multiply
    21,882.42x = 30,197.70 × 11,946.42
  4. Step 4: Simplify right side
    21,882.42x = 360,754,407.23
  5. Step 5: Solve for x
    x = 360,754,407.23/21,882.42
  6. Step 6: Final answer
    x = 16,486.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.