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Finding the Fourth Proportional to 17,774.72, 24,529.92 and 10,321.28

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Solution

The fourth proportional to 17,774.72, 24,529.92 and 10,321.28 is: 14,243.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,774.72 : 24,529.92 = 10,321.28 : x
  2. Step 2: Convert to fraction form
    17,774.72/24,529.92 = 10,321.28/x
  3. Step 3: Cross multiply
    17,774.72x = 24,529.92 × 10,321.28
  4. Step 4: Simplify right side
    17,774.72x = 253,180,172.70
  5. Step 5: Solve for x
    x = 253,180,172.70/17,774.72
  6. Step 6: Final answer
    x = 14,243.83

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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.