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Finding the Fourth Proportional to 16,506.55, 24,763.47 and 8,191.09

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Solution

The fourth proportional to 16,506.55, 24,763.47 and 8,191.09 is: 12,288.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,506.55 : 24,763.47 = 8,191.09 : x
  2. Step 2: Convert to fraction form
    16,506.55/24,763.47 = 8,191.09/x
  3. Step 3: Cross multiply
    16,506.55x = 24,763.47 × 8,191.09
  4. Step 4: Simplify right side
    16,506.55x = 202,839,811.48
  5. Step 5: Solve for x
    x = 202,839,811.48/16,506.55
  6. Step 6: Final answer
    x = 12,288.44

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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.