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Finding the Fourth Proportional to 26,773.29, 40,160.64 and 9,004.62

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Solution

The fourth proportional to 26,773.29, 40,160.64 and 9,004.62 is: 13,507.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,773.29 : 40,160.64 = 9,004.62 : x
  2. Step 2: Convert to fraction form
    26,773.29/40,160.64 = 9,004.62/x
  3. Step 3: Cross multiply
    26,773.29x = 40,160.64 × 9,004.62
  4. Step 4: Simplify right side
    26,773.29x = 361,631,302.16
  5. Step 5: Solve for x
    x = 361,631,302.16/26,773.29
  6. Step 6: Final answer
    x = 13,507.17

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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.