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Finding the Fourth Proportional to 17,658.96, 24,371.56 and 10,206.96

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Solution

The fourth proportional to 17,658.96, 24,371.56 and 10,206.96 is: 14,086.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,658.96 : 24,371.56 = 10,206.96 : x
  2. Step 2: Convert to fraction form
    17,658.96/24,371.56 = 10,206.96/x
  3. Step 3: Cross multiply
    17,658.96x = 24,371.56 × 10,206.96
  4. Step 4: Simplify right side
    17,658.96x = 248,759,538.06
  5. Step 5: Solve for x
    x = 248,759,538.06/17,658.96
  6. Step 6: Final answer
    x = 14,086.87

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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.