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Finding the Fourth Proportional to 10,338.92, 14,261.31 and 9,015.80

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Solution

The fourth proportional to 10,338.92, 14,261.31 and 9,015.80 is: 12,436.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,338.92 : 14,261.31 = 9,015.80 : x
  2. Step 2: Convert to fraction form
    10,338.92/14,261.31 = 9,015.80/x
  3. Step 3: Cross multiply
    10,338.92x = 14,261.31 × 9,015.80
  4. Step 4: Simplify right side
    10,338.92x = 128,577,118.70
  5. Step 5: Solve for x
    x = 128,577,118.70/10,338.92
  6. Step 6: Final answer
    x = 12,436.22

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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.