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Finding the Fourth Proportional to 17,906.64, 24,709.28 and 10,351.78

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Solution

The fourth proportional to 17,906.64, 24,709.28 and 10,351.78 is: 14,284.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,906.64 : 24,709.28 = 10,351.78 : x
  2. Step 2: Convert to fraction form
    17,906.64/24,709.28 = 10,351.78/x
  3. Step 3: Cross multiply
    17,906.64x = 24,709.28 × 10,351.78
  4. Step 4: Simplify right side
    17,906.64x = 255,785,030.52
  5. Step 5: Solve for x
    x = 255,785,030.52/17,906.64
  6. Step 6: Final answer
    x = 14,284.37

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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.