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Finding the Fourth Proportional to 24,010.53, 36,015.68 and 8,215.60

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Solution

The fourth proportional to 24,010.53, 36,015.68 and 8,215.60 is: 12,323.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,010.53 : 36,015.68 = 8,215.60 : x
  2. Step 2: Convert to fraction form
    24,010.53/36,015.68 = 8,215.60/x
  3. Step 3: Cross multiply
    24,010.53x = 36,015.68 × 8,215.60
  4. Step 4: Simplify right side
    24,010.53x = 295,890,462.17
  5. Step 5: Solve for x
    x = 295,890,462.17/24,010.53
  6. Step 6: Final answer
    x = 12,323.36

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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.