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Finding the Fourth Proportional to 21,821.70, 32,744.70 and 9,339.60

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Solution

The fourth proportional to 21,821.70, 32,744.70 and 9,339.60 is: 14,014.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,821.70 : 32,744.70 = 9,339.60 : x
  2. Step 2: Convert to fraction form
    21,821.70/32,744.70 = 9,339.60/x
  3. Step 3: Cross multiply
    21,821.70x = 32,744.70 × 9,339.60
  4. Step 4: Simplify right side
    21,821.70x = 305,822,400.12
  5. Step 5: Solve for x
    x = 305,822,400.12/21,821.70
  6. Step 6: Final answer
    x = 14,014.60

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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.