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Finding the Fourth Proportional to 25,045, 34,562.10 and 13,867

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Solution

The fourth proportional to 25,045, 34,562.10 and 13,867 is: 19,136.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,045 : 34,562.10 = 13,867 : x
  2. Step 2: Convert to fraction form
    25,045/34,562.10 = 13,867/x
  3. Step 3: Cross multiply
    25,045x = 34,562.10 × 13,867
  4. Step 4: Simplify right side
    25,045x = 479,272,640.70
  5. Step 5: Solve for x
    x = 479,272,640.70/25,045
  6. Step 6: Final answer
    x = 19,136.46

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