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Finding the Fourth Proportional to 16,766.38, 23,138.23 and 10,053.10

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Solution

The fourth proportional to 16,766.38, 23,138.23 and 10,053.10 is: 13,873.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,766.38 : 23,138.23 = 10,053.10 : x
  2. Step 2: Convert to fraction form
    16,766.38/23,138.23 = 10,053.10/x
  3. Step 3: Cross multiply
    16,766.38x = 23,138.23 × 10,053.10
  4. Step 4: Simplify right side
    16,766.38x = 232,610,940.01
  5. Step 5: Solve for x
    x = 232,610,940.01/16,766.38
  6. Step 6: Final answer
    x = 13,873.65

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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.