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Finding the Fourth Proportional to 24,313.96, 36,462.30 and 7,669

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Solution

The fourth proportional to 24,313.96, 36,462.30 and 7,669 is: 11,500.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,313.96 : 36,462.30 = 7,669 : x
  2. Step 2: Convert to fraction form
    24,313.96/36,462.30 = 7,669/x
  3. Step 3: Cross multiply
    24,313.96x = 36,462.30 × 7,669
  4. Step 4: Simplify right side
    24,313.96x = 279,629,378.70
  5. Step 5: Solve for x
    x = 279,629,378.70/24,313.96
  6. Step 6: Final answer
    x = 11,500.77

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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.