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Finding the Fourth Proportional to 16,141.68, 22,275.07 and 8,971.42

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Solution

The fourth proportional to 16,141.68, 22,275.07 and 8,971.42 is: 12,380.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,141.68 : 22,275.07 = 8,971.42 : x
  2. Step 2: Convert to fraction form
    16,141.68/22,275.07 = 8,971.42/x
  3. Step 3: Cross multiply
    16,141.68x = 22,275.07 × 8,971.42
  4. Step 4: Simplify right side
    16,141.68x = 199,839,008.50
  5. Step 5: Solve for x
    x = 199,839,008.50/16,141.68
  6. Step 6: Final answer
    x = 12,380.31

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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.