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Finding the Fourth Proportional to 25,098.38, 37,641.25 and 10,311.38

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Solution

The fourth proportional to 25,098.38, 37,641.25 and 10,311.38 is: 15,464.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,098.38 : 37,641.25 = 10,311.38 : x
  2. Step 2: Convert to fraction form
    25,098.38/37,641.25 = 10,311.38/x
  3. Step 3: Cross multiply
    25,098.38x = 37,641.25 × 10,311.38
  4. Step 4: Simplify right side
    25,098.38x = 388,133,232.43
  5. Step 5: Solve for x
    x = 388,133,232.43/25,098.38
  6. Step 6: Final answer
    x = 15,464.47

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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.