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Finding the Fourth Proportional to 20,783.89, 28,683.24 and 11,831.40

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Solution

The fourth proportional to 20,783.89, 28,683.24 and 11,831.40 is: 16,328.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,783.89 : 28,683.24 = 11,831.40 : x
  2. Step 2: Convert to fraction form
    20,783.89/28,683.24 = 11,831.40/x
  3. Step 3: Cross multiply
    20,783.89x = 28,683.24 × 11,831.40
  4. Step 4: Simplify right side
    20,783.89x = 339,362,885.74
  5. Step 5: Solve for x
    x = 339,362,885.74/20,783.89
  6. Step 6: Final answer
    x = 16,328.17

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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.