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Finding the Fourth Proportional to 24,021.60, 36,021.60 and 9,225.60

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Solution

The fourth proportional to 24,021.60, 36,021.60 and 9,225.60 is: 13,834.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,021.60 : 36,021.60 = 9,225.60 : x
  2. Step 2: Convert to fraction form
    24,021.60/36,021.60 = 9,225.60/x
  3. Step 3: Cross multiply
    24,021.60x = 36,021.60 × 9,225.60
  4. Step 4: Simplify right side
    24,021.60x = 332,320,872.96
  5. Step 5: Solve for x
    x = 332,320,872.96/24,021.60
  6. Step 6: Final answer
    x = 13,834.25

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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.