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Finding the Fourth Proportional to 10,016.58, 13,837.02 and 9,118.82

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Solution

The fourth proportional to 10,016.58, 13,837.02 and 9,118.82 is: 12,596.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,016.58 : 13,837.02 = 9,118.82 : x
  2. Step 2: Convert to fraction form
    10,016.58/13,837.02 = 9,118.82/x
  3. Step 3: Cross multiply
    10,016.58x = 13,837.02 × 9,118.82
  4. Step 4: Simplify right side
    10,016.58x = 126,177,294.72
  5. Step 5: Solve for x
    x = 126,177,294.72/10,016.58
  6. Step 6: Final answer
    x = 12,596.84

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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.