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Finding the Fourth Proportional to 14,083.67, 19,434.84 and 8,116.20

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Solution

The fourth proportional to 14,083.67, 19,434.84 and 8,116.20 is: 11,199.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,083.67 : 19,434.84 = 8,116.20 : x
  2. Step 2: Convert to fraction form
    14,083.67/19,434.84 = 8,116.20/x
  3. Step 3: Cross multiply
    14,083.67x = 19,434.84 × 8,116.20
  4. Step 4: Simplify right side
    14,083.67x = 157,737,017.97
  5. Step 5: Solve for x
    x = 157,737,017.97/14,083.67
  6. Step 6: Final answer
    x = 11,199.99

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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.