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Finding the Fourth Proportional to 17,910.28, 24,718.02 and 10,357

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Solution

The fourth proportional to 17,910.28, 24,718.02 and 10,357 is: 14,293.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,910.28 : 24,718.02 = 10,357 : x
  2. Step 2: Convert to fraction form
    17,910.28/24,718.02 = 10,357/x
  3. Step 3: Cross multiply
    17,910.28x = 24,718.02 × 10,357
  4. Step 4: Simplify right side
    17,910.28x = 256,004,533.14
  5. Step 5: Solve for x
    x = 256,004,533.14/17,910.28
  6. Step 6: Final answer
    x = 14,293.72

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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.