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Finding the Fourth Proportional to 17,648.28, 24,355.74 and 10,196.28

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Solution

The fourth proportional to 17,648.28, 24,355.74 and 10,196.28 is: 14,071.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,648.28 : 24,355.74 = 10,196.28 : x
  2. Step 2: Convert to fraction form
    17,648.28/24,355.74 = 10,196.28/x
  3. Step 3: Cross multiply
    17,648.28x = 24,355.74 × 10,196.28
  4. Step 4: Simplify right side
    17,648.28x = 248,337,944.65
  5. Step 5: Solve for x
    x = 248,337,944.65/17,648.28
  6. Step 6: Final answer
    x = 14,071.51

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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.