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Finding the Fourth Proportional to 14,462.92, 19,960.58 and 8,175.24

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Solution

The fourth proportional to 14,462.92, 19,960.58 and 8,175.24 is: 11,282.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,462.92 : 19,960.58 = 8,175.24 : x
  2. Step 2: Convert to fraction form
    14,462.92/19,960.58 = 8,175.24/x
  3. Step 3: Cross multiply
    14,462.92x = 19,960.58 × 8,175.24
  4. Step 4: Simplify right side
    14,462.92x = 163,182,532.04
  5. Step 5: Solve for x
    x = 163,182,532.04/14,462.92
  6. Step 6: Final answer
    x = 11,282.82

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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.