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Finding the Fourth Proportional to 14,084.92, 19,435.14 and 8,116.12

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Solution

The fourth proportional to 14,084.92, 19,435.14 and 8,116.12 is: 11,199.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,084.92 : 19,435.14 = 8,116.12 : x
  2. Step 2: Convert to fraction form
    14,084.92/19,435.14 = 8,116.12/x
  3. Step 3: Cross multiply
    14,084.92x = 19,435.14 × 8,116.12
  4. Step 4: Simplify right side
    14,084.92x = 157,737,928.46
  5. Step 5: Solve for x
    x = 157,737,928.46/14,084.92
  6. Step 6: Final answer
    x = 11,199.06

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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.