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Finding the Fourth Proportional to 14,116.92, 19,489.32 and 9,647.16

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Solution

The fourth proportional to 14,116.92, 19,489.32 and 9,647.16 is: 13,318.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,116.92 : 19,489.32 = 9,647.16 : x
  2. Step 2: Convert to fraction form
    14,116.92/19,489.32 = 9,647.16/x
  3. Step 3: Cross multiply
    14,116.92x = 19,489.32 × 9,647.16
  4. Step 4: Simplify right side
    14,116.92x = 188,016,588.33
  5. Step 5: Solve for x
    x = 188,016,588.33/14,116.92
  6. Step 6: Final answer
    x = 13,318.53

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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.