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Finding the Fourth Proportional to 14,083.85, 19,435.73 and 8,778.68

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Solution

The fourth proportional to 14,083.85, 19,435.73 and 8,778.68 is: 12,114.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,083.85 : 19,435.73 = 8,778.68 : x
  2. Step 2: Convert to fraction form
    14,083.85/19,435.73 = 8,778.68/x
  3. Step 3: Cross multiply
    14,083.85x = 19,435.73 × 8,778.68
  4. Step 4: Simplify right side
    14,083.85x = 170,619,957.06
  5. Step 5: Solve for x
    x = 170,619,957.06/14,083.85
  6. Step 6: Final answer
    x = 12,114.58

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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.