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Finding the Fourth Proportional to 14,512.08, 20,029.92 and 8,228.16

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Solution

The fourth proportional to 14,512.08, 20,029.92 and 8,228.16 is: 11,356.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,512.08 : 20,029.92 = 8,228.16 : x
  2. Step 2: Convert to fraction form
    14,512.08/20,029.92 = 8,228.16/x
  3. Step 3: Cross multiply
    14,512.08x = 20,029.92 × 8,228.16
  4. Step 4: Simplify right side
    14,512.08x = 164,809,386.55
  5. Step 5: Solve for x
    x = 164,809,386.55/14,512.08
  6. Step 6: Final answer
    x = 11,356.70

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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.