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Finding the Fourth Proportional to 25,136.06, 34,695.90 and 18,083

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Solution

The fourth proportional to 25,136.06, 34,695.90 and 18,083 is: 24,960.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,136.06 : 34,695.90 = 18,083 : x
  2. Step 2: Convert to fraction form
    25,136.06/34,695.90 = 18,083/x
  3. Step 3: Cross multiply
    25,136.06x = 34,695.90 × 18,083
  4. Step 4: Simplify right side
    25,136.06x = 627,405,959.70
  5. Step 5: Solve for x
    x = 627,405,959.70/25,136.06
  6. Step 6: Final answer
    x = 24,960.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.