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Finding the Fourth Proportional to 27,217.80, 40,830.42 and 9,683.40

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Solution

The fourth proportional to 27,217.80, 40,830.42 and 9,683.40 is: 14,526.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,217.80 : 40,830.42 = 9,683.40 : x
  2. Step 2: Convert to fraction form
    27,217.80/40,830.42 = 9,683.40/x
  3. Step 3: Cross multiply
    27,217.80x = 40,830.42 × 9,683.40
  4. Step 4: Simplify right side
    27,217.80x = 395,377,289.03
  5. Step 5: Solve for x
    x = 395,377,289.03/27,217.80
  6. Step 6: Final answer
    x = 14,526.42

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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.