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Finding the Fourth Proportional to 16,214.82, 22,376.28 and 9,143.52

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Solution

The fourth proportional to 16,214.82, 22,376.28 and 9,143.52 is: 12,617.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,214.82 : 22,376.28 = 9,143.52 : x
  2. Step 2: Convert to fraction form
    16,214.82/22,376.28 = 9,143.52/x
  3. Step 3: Cross multiply
    16,214.82x = 22,376.28 × 9,143.52
  4. Step 4: Simplify right side
    16,214.82x = 204,597,963.71
  5. Step 5: Solve for x
    x = 204,597,963.71/16,214.82
  6. Step 6: Final answer
    x = 12,617.96

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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.