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Finding the Fourth Proportional to 26,560.64, 39,831.67 and 7,835.70

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Solution

The fourth proportional to 26,560.64, 39,831.67 and 7,835.70 is: 11,750.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,560.64 : 39,831.67 = 7,835.70 : x
  2. Step 2: Convert to fraction form
    26,560.64/39,831.67 = 7,835.70/x
  3. Step 3: Cross multiply
    26,560.64x = 39,831.67 × 7,835.70
  4. Step 4: Simplify right side
    26,560.64x = 312,109,175.78
  5. Step 5: Solve for x
    x = 312,109,175.78/26,560.64
  6. Step 6: Final answer
    x = 11,750.81

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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.