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Finding the Fourth Proportional to 24,605.24, 36,913.71 and 7,965.27

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Solution

The fourth proportional to 24,605.24, 36,913.71 and 7,965.27 is: 11,949.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,605.24 : 36,913.71 = 7,965.27 : x
  2. Step 2: Convert to fraction form
    24,605.24/36,913.71 = 7,965.27/x
  3. Step 3: Cross multiply
    24,605.24x = 36,913.71 × 7,965.27
  4. Step 4: Simplify right side
    24,605.24x = 294,027,666.85
  5. Step 5: Solve for x
    x = 294,027,666.85/24,605.24
  6. Step 6: Final answer
    x = 11,949.80

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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.