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Finding the Fourth Proportional to 16,494.72, 24,710.19 and 10,257.22

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Solution

The fourth proportional to 16,494.72, 24,710.19 and 10,257.22 is: 15,365.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,494.72 : 24,710.19 = 10,257.22 : x
  2. Step 2: Convert to fraction form
    16,494.72/24,710.19 = 10,257.22/x
  3. Step 3: Cross multiply
    16,494.72x = 24,710.19 × 10,257.22
  4. Step 4: Simplify right side
    16,494.72x = 253,457,680.23
  5. Step 5: Solve for x
    x = 253,457,680.23/16,494.72
  6. Step 6: Final answer
    x = 15,365.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.