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Finding the Fourth Proportional to 23,831.84, 32,813.16 and 20,239.40

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Solution

The fourth proportional to 23,831.84, 32,813.16 and 20,239.40 is: 27,866.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,831.84 : 32,813.16 = 20,239.40 : x
  2. Step 2: Convert to fraction form
    23,831.84/32,813.16 = 20,239.40/x
  3. Step 3: Cross multiply
    23,831.84x = 32,813.16 × 20,239.40
  4. Step 4: Simplify right side
    23,831.84x = 664,118,670.50
  5. Step 5: Solve for x
    x = 664,118,670.50/23,831.84
  6. Step 6: Final answer
    x = 27,866.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.