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Finding the Fourth Proportional to 25,246.17, 37,869.21 and 6,778.17

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Solution

The fourth proportional to 25,246.17, 37,869.21 and 6,778.17 is: 10,167.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,246.17 : 37,869.21 = 6,778.17 : x
  2. Step 2: Convert to fraction form
    25,246.17/37,869.21 = 6,778.17/x
  3. Step 3: Cross multiply
    25,246.17x = 37,869.21 × 6,778.17
  4. Step 4: Simplify right side
    25,246.17x = 256,683,943.15
  5. Step 5: Solve for x
    x = 256,683,943.15/25,246.17
  6. Step 6: Final answer
    x = 10,167.24

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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.