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Finding the Fourth Proportional to 24,755.77, 37,133.03 and 7,225.75

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Solution

The fourth proportional to 24,755.77, 37,133.03 and 7,225.75 is: 10,838.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,755.77 : 37,133.03 = 7,225.75 : x
  2. Step 2: Convert to fraction form
    24,755.77/37,133.03 = 7,225.75/x
  3. Step 3: Cross multiply
    24,755.77x = 37,133.03 × 7,225.75
  4. Step 4: Simplify right side
    24,755.77x = 268,313,991.52
  5. Step 5: Solve for x
    x = 268,313,991.52/24,755.77
  6. Step 6: Final answer
    x = 10,838.44

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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.