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Finding the Fourth Proportional to 26,813.72, 40,204.94 and 8,088.14

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Solution

The fourth proportional to 26,813.72, 40,204.94 and 8,088.14 is: 12,127.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,813.72 : 40,204.94 = 8,088.14 : x
  2. Step 2: Convert to fraction form
    26,813.72/40,204.94 = 8,088.14/x
  3. Step 3: Cross multiply
    26,813.72x = 40,204.94 × 8,088.14
  4. Step 4: Simplify right side
    26,813.72x = 325,183,304.14
  5. Step 5: Solve for x
    x = 325,183,304.14/26,813.72
  6. Step 6: Final answer
    x = 12,127.50

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Why These Related Problems?

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