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Finding the Fourth Proportional to 18,766.56, 25,898.10 and 10,383

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Solution

The fourth proportional to 18,766.56, 25,898.10 and 10,383 is: 14,328.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,766.56 : 25,898.10 = 10,383 : x
  2. Step 2: Convert to fraction form
    18,766.56/25,898.10 = 10,383/x
  3. Step 3: Cross multiply
    18,766.56x = 25,898.10 × 10,383
  4. Step 4: Simplify right side
    18,766.56x = 268,899,972.30
  5. Step 5: Solve for x
    x = 268,899,972.30/18,766.56
  6. Step 6: Final answer
    x = 14,328.68

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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.