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Finding the Fourth Proportional to 11,639.10, 17,444.76 and 8,109.99

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Solution

The fourth proportional to 11,639.10, 17,444.76 and 8,109.99 is: 12,155.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,639.10 : 17,444.76 = 8,109.99 : x
  2. Step 2: Convert to fraction form
    11,639.10/17,444.76 = 8,109.99/x
  3. Step 3: Cross multiply
    11,639.10x = 17,444.76 × 8,109.99
  4. Step 4: Simplify right side
    11,639.10x = 141,476,829.15
  5. Step 5: Solve for x
    x = 141,476,829.15/11,639.10
  6. Step 6: Final answer
    x = 12,155.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.