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Finding the Fourth Proportional to 10,705.96, 14,680.19 and 10,335.16

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Solution

The fourth proportional to 10,705.96, 14,680.19 and 10,335.16 is: 14,171.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.96 : 14,680.19 = 10,335.16 : x
  2. Step 2: Convert to fraction form
    10,705.96/14,680.19 = 10,335.16/x
  3. Step 3: Cross multiply
    10,705.96x = 14,680.19 × 10,335.16
  4. Step 4: Simplify right side
    10,705.96x = 151,722,112.48
  5. Step 5: Solve for x
    x = 151,722,112.48/10,705.96
  6. Step 6: Final answer
    x = 14,171.74

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.