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Finding the Fourth Proportional to 26,558.47, 39,831.33 and 7,833.42

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Solution

The fourth proportional to 26,558.47, 39,831.33 and 7,833.42 is: 11,748.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,558.47 : 39,831.33 = 7,833.42 : x
  2. Step 2: Convert to fraction form
    26,558.47/39,831.33 = 7,833.42/x
  3. Step 3: Cross multiply
    26,558.47x = 39,831.33 × 7,833.42
  4. Step 4: Simplify right side
    26,558.47x = 312,015,537.05
  5. Step 5: Solve for x
    x = 312,015,537.05/26,558.47
  6. Step 6: Final answer
    x = 11,748.25

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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.