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Finding the Fourth Proportional to 16,214.44, 22,376.88 and 9,141.28

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Solution

The fourth proportional to 16,214.44, 22,376.88 and 9,141.28 is: 12,615.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,214.44 : 22,376.88 = 9,141.28 : x
  2. Step 2: Convert to fraction form
    16,214.44/22,376.88 = 9,141.28/x
  3. Step 3: Cross multiply
    16,214.44x = 22,376.88 × 9,141.28
  4. Step 4: Simplify right side
    16,214.44x = 204,553,325.61
  5. Step 5: Solve for x
    x = 204,553,325.61/16,214.44
  6. Step 6: Final answer
    x = 12,615.50

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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.