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Finding the Fourth Proportional to 22,839.48, 34,242.12 and 9,683.40

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Solution

The fourth proportional to 22,839.48, 34,242.12 and 9,683.40 is: 14,517.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,839.48 : 34,242.12 = 9,683.40 : x
  2. Step 2: Convert to fraction form
    22,839.48/34,242.12 = 9,683.40/x
  3. Step 3: Cross multiply
    22,839.48x = 34,242.12 × 9,683.40
  4. Step 4: Simplify right side
    22,839.48x = 331,580,144.81
  5. Step 5: Solve for x
    x = 331,580,144.81/22,839.48
  6. Step 6: Final answer
    x = 14,517.85

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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.