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Finding the Fourth Proportional to 14,612.96, 20,162.40 and 8,644.16

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Solution

The fourth proportional to 14,612.96, 20,162.40 and 8,644.16 is: 11,926.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,612.96 : 20,162.40 = 8,644.16 : x
  2. Step 2: Convert to fraction form
    14,612.96/20,162.40 = 8,644.16/x
  3. Step 3: Cross multiply
    14,612.96x = 20,162.40 × 8,644.16
  4. Step 4: Simplify right side
    14,612.96x = 174,287,011.58
  5. Step 5: Solve for x
    x = 174,287,011.58/14,612.96
  6. Step 6: Final answer
    x = 11,926.88

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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.