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Finding the Fourth Proportional to 16,214.94, 22,354.41 and 10,243.62

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Solution

The fourth proportional to 16,214.94, 22,354.41 and 10,243.62 is: 14,122.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,214.94 : 22,354.41 = 10,243.62 : x
  2. Step 2: Convert to fraction form
    16,214.94/22,354.41 = 10,243.62/x
  3. Step 3: Cross multiply
    16,214.94x = 22,354.41 × 10,243.62
  4. Step 4: Simplify right side
    16,214.94x = 228,990,081.36
  5. Step 5: Solve for x
    x = 228,990,081.36/16,214.94
  6. Step 6: Final answer
    x = 14,122.17

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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.