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Finding the Fourth Proportional to 26,850.64, 37,053.64 and 14,914

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Solution

The fourth proportional to 26,850.64, 37,053.64 and 14,914 is: 20,581.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,850.64 : 37,053.64 = 14,914 : x
  2. Step 2: Convert to fraction form
    26,850.64/37,053.64 = 14,914/x
  3. Step 3: Cross multiply
    26,850.64x = 37,053.64 × 14,914
  4. Step 4: Simplify right side
    26,850.64x = 552,617,986.96
  5. Step 5: Solve for x
    x = 552,617,986.96/26,850.64
  6. Step 6: Final answer
    x = 20,581.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.