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Finding the Fourth Proportional to 14,711.42, 22,067.12 and 5,946.34

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Solution

The fourth proportional to 14,711.42, 22,067.12 and 5,946.34 is: 8,919.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,711.42 : 22,067.12 = 5,946.34 : x
  2. Step 2: Convert to fraction form
    14,711.42/22,067.12 = 5,946.34/x
  3. Step 3: Cross multiply
    14,711.42x = 22,067.12 × 5,946.34
  4. Step 4: Simplify right side
    14,711.42x = 131,218,598.34
  5. Step 5: Solve for x
    x = 131,218,598.34/14,711.42
  6. Step 6: Final answer
    x = 8,919.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.