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Finding the Fourth Proportional to 25,283.66, 37,924.07 and 7,753.43

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Solution

The fourth proportional to 25,283.66, 37,924.07 and 7,753.43 is: 11,629.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,283.66 : 37,924.07 = 7,753.43 : x
  2. Step 2: Convert to fraction form
    25,283.66/37,924.07 = 7,753.43/x
  3. Step 3: Cross multiply
    25,283.66x = 37,924.07 × 7,753.43
  4. Step 4: Simplify right side
    25,283.66x = 294,041,678.10
  5. Step 5: Solve for x
    x = 294,041,678.10/25,283.66
  6. Step 6: Final answer
    x = 11,629.71

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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.