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Finding the Fourth Proportional to 14,652.36, 20,220.35 and 8,192

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Solution

The fourth proportional to 14,652.36, 20,220.35 and 8,192 is: 11,305.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,652.36 : 20,220.35 = 8,192 : x
  2. Step 2: Convert to fraction form
    14,652.36/20,220.35 = 8,192/x
  3. Step 3: Cross multiply
    14,652.36x = 20,220.35 × 8,192
  4. Step 4: Simplify right side
    14,652.36x = 165,645,107.20
  5. Step 5: Solve for x
    x = 165,645,107.20/14,652.36
  6. Step 6: Final answer
    x = 11,305.01

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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.