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Finding the Fourth Proportional to 14,209.98, 19,611.55 and 8,162.12

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Solution

The fourth proportional to 14,209.98, 19,611.55 and 8,162.12 is: 11,264.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,209.98 : 19,611.55 = 8,162.12 : x
  2. Step 2: Convert to fraction form
    14,209.98/19,611.55 = 8,162.12/x
  3. Step 3: Cross multiply
    14,209.98x = 19,611.55 × 8,162.12
  4. Step 4: Simplify right side
    14,209.98x = 160,071,773.40
  5. Step 5: Solve for x
    x = 160,071,773.40/14,209.98
  6. Step 6: Final answer
    x = 11,264.74

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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.