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Finding the Fourth Proportional to 23,831.25, 35,749.31 and 8,248.83

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Solution

The fourth proportional to 23,831.25, 35,749.31 and 8,248.83 is: 12,374.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,831.25 : 35,749.31 = 8,248.83 : x
  2. Step 2: Convert to fraction form
    23,831.25/35,749.31 = 8,248.83/x
  3. Step 3: Cross multiply
    23,831.25x = 35,749.31 × 8,248.83
  4. Step 4: Simplify right side
    23,831.25x = 294,889,980.81
  5. Step 5: Solve for x
    x = 294,889,980.81/23,831.25
  6. Step 6: Final answer
    x = 12,374.09

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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.