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Finding the Fourth Proportional to 24,536.78, 36,807.41 and 7,892.70

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Solution

The fourth proportional to 24,536.78, 36,807.41 and 7,892.70 is: 11,839.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,536.78 : 36,807.41 = 7,892.70 : x
  2. Step 2: Convert to fraction form
    24,536.78/36,807.41 = 7,892.70/x
  3. Step 3: Cross multiply
    24,536.78x = 36,807.41 × 7,892.70
  4. Step 4: Simplify right side
    24,536.78x = 290,509,844.91
  5. Step 5: Solve for x
    x = 290,509,844.91/24,536.78
  6. Step 6: Final answer
    x = 11,839.77

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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.