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Finding the Fourth Proportional to 26,648.82, 39,966.26 and 7,923.81

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Solution

The fourth proportional to 26,648.82, 39,966.26 and 7,923.81 is: 11,883.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,648.82 : 39,966.26 = 7,923.81 : x
  2. Step 2: Convert to fraction form
    26,648.82/39,966.26 = 7,923.81/x
  3. Step 3: Cross multiply
    26,648.82x = 39,966.26 × 7,923.81
  4. Step 4: Simplify right side
    26,648.82x = 316,685,050.65
  5. Step 5: Solve for x
    x = 316,685,050.65/26,648.82
  6. Step 6: Final answer
    x = 11,883.64

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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.