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Finding the Fourth Proportional to 16,861.80, 23,270.94 and 9,787.80

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Solution

The fourth proportional to 16,861.80, 23,270.94 and 9,787.80 is: 13,508.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,861.80 : 23,270.94 = 9,787.80 : x
  2. Step 2: Convert to fraction form
    16,861.80/23,270.94 = 9,787.80/x
  3. Step 3: Cross multiply
    16,861.80x = 23,270.94 × 9,787.80
  4. Step 4: Simplify right side
    16,861.80x = 227,771,306.53
  5. Step 5: Solve for x
    x = 227,771,306.53/16,861.80
  6. Step 6: Final answer
    x = 13,508.13

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1.5x scale

Why These Related Problems?

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