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Finding the Fourth Proportional to 25,273.84, 37,912.12 and 9,690.24

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Solution

The fourth proportional to 25,273.84, 37,912.12 and 9,690.24 is: 14,535.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,273.84 : 37,912.12 = 9,690.24 : x
  2. Step 2: Convert to fraction form
    25,273.84/37,912.12 = 9,690.24/x
  3. Step 3: Cross multiply
    25,273.84x = 37,912.12 × 9,690.24
  4. Step 4: Simplify right side
    25,273.84x = 367,377,541.71
  5. Step 5: Solve for x
    x = 367,377,541.71/25,273.84
  6. Step 6: Final answer
    x = 14,535.88

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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.