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Finding the Fourth Proportional to 24,208.96, 36,313.44 and 7,568.32

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Solution

The fourth proportional to 24,208.96, 36,313.44 and 7,568.32 is: 11,352.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,208.96 : 36,313.44 = 7,568.32 : x
  2. Step 2: Convert to fraction form
    24,208.96/36,313.44 = 7,568.32/x
  3. Step 3: Cross multiply
    24,208.96x = 36,313.44 × 7,568.32
  4. Step 4: Simplify right side
    24,208.96x = 274,831,734.22
  5. Step 5: Solve for x
    x = 274,831,734.22/24,208.96
  6. Step 6: Final answer
    x = 11,352.48

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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.