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Finding the Fourth Proportional to 16,527.94, 22,808.55 and 8,974.23

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Solution

The fourth proportional to 16,527.94, 22,808.55 and 8,974.23 is: 12,384.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,527.94 : 22,808.55 = 8,974.23 : x
  2. Step 2: Convert to fraction form
    16,527.94/22,808.55 = 8,974.23/x
  3. Step 3: Cross multiply
    16,527.94x = 22,808.55 × 8,974.23
  4. Step 4: Simplify right side
    16,527.94x = 204,689,173.67
  5. Step 5: Solve for x
    x = 204,689,173.67/16,527.94
  6. Step 6: Final answer
    x = 12,384.43

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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.