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Finding the Fourth Proportional to 14,640.30, 21,960.45 and 9,683.10

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Solution

The fourth proportional to 14,640.30, 21,960.45 and 9,683.10 is: 14,524.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,640.30 : 21,960.45 = 9,683.10 : x
  2. Step 2: Convert to fraction form
    14,640.30/21,960.45 = 9,683.10/x
  3. Step 3: Cross multiply
    14,640.30x = 21,960.45 × 9,683.10
  4. Step 4: Simplify right side
    14,640.30x = 212,645,233.40
  5. Step 5: Solve for x
    x = 212,645,233.40/14,640.30
  6. Step 6: Final answer
    x = 14,524.65

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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.