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Finding the Fourth Proportional to 16,256.14, 22,433.55 and 8,804.14

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Solution

The fourth proportional to 16,256.14, 22,433.55 and 8,804.14 is: 12,149.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,256.14 : 22,433.55 = 8,804.14 : x
  2. Step 2: Convert to fraction form
    16,256.14/22,433.55 = 8,804.14/x
  3. Step 3: Cross multiply
    16,256.14x = 22,433.55 × 8,804.14
  4. Step 4: Simplify right side
    16,256.14x = 197,508,114.90
  5. Step 5: Solve for x
    x = 197,508,114.90/16,256.14
  6. Step 6: Final answer
    x = 12,149.75

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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.