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Finding the Fourth Proportional to 14,083.97, 19,435.76 and 8,115.50

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Solution

The fourth proportional to 14,083.97, 19,435.76 and 8,115.50 is: 11,199.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,083.97 : 19,435.76 = 8,115.50 : x
  2. Step 2: Convert to fraction form
    14,083.97/19,435.76 = 8,115.50/x
  3. Step 3: Cross multiply
    14,083.97x = 19,435.76 × 8,115.50
  4. Step 4: Simplify right side
    14,083.97x = 157,730,948.73
  5. Step 5: Solve for x
    x = 157,730,948.73/14,083.97
  6. Step 6: Final answer
    x = 11,199.33

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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.