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Finding the Fourth Proportional to 18,171, 25,078.06 and 10,105.46

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Solution

The fourth proportional to 18,171, 25,078.06 and 10,105.46 is: 13,946.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,171 : 25,078.06 = 10,105.46 : x
  2. Step 2: Convert to fraction form
    18,171/25,078.06 = 10,105.46/x
  3. Step 3: Cross multiply
    18,171x = 25,078.06 × 10,105.46
  4. Step 4: Simplify right side
    18,171x = 253,425,332.21
  5. Step 5: Solve for x
    x = 253,425,332.21/18,171
  6. Step 6: Final answer
    x = 13,946.69

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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.