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Finding the Fourth Proportional to 24,453.05, 36,665.81 and 7,809.17

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Solution

The fourth proportional to 24,453.05, 36,665.81 and 7,809.17 is: 11,709.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,453.05 : 36,665.81 = 7,809.17 : x
  2. Step 2: Convert to fraction form
    24,453.05/36,665.81 = 7,809.17/x
  3. Step 3: Cross multiply
    24,453.05x = 36,665.81 × 7,809.17
  4. Step 4: Simplify right side
    24,453.05x = 286,329,625.38
  5. Step 5: Solve for x
    x = 286,329,625.38/24,453.05
  6. Step 6: Final answer
    x = 11,709.36

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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.