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Finding the Fourth Proportional to 26,365.50, 39,546.63 and 6,642.81

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Solution

The fourth proportional to 26,365.50, 39,546.63 and 6,642.81 is: 9,963.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,365.50 : 39,546.63 = 6,642.81 : x
  2. Step 2: Convert to fraction form
    26,365.50/39,546.63 = 6,642.81/x
  3. Step 3: Cross multiply
    26,365.50x = 39,546.63 × 6,642.81
  4. Step 4: Simplify right side
    26,365.50x = 262,700,749.23
  5. Step 5: Solve for x
    x = 262,700,749.23/26,365.50
  6. Step 6: Final answer
    x = 9,963.81

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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.