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Finding the Fourth Proportional to 25,113.96, 37,625 and 11,762.44

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Solution

The fourth proportional to 25,113.96, 37,625 and 11,762.44 is: 17,622.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,113.96 : 37,625 = 11,762.44 : x
  2. Step 2: Convert to fraction form
    25,113.96/37,625 = 11,762.44/x
  3. Step 3: Cross multiply
    25,113.96x = 37,625 × 11,762.44
  4. Step 4: Simplify right side
    25,113.96x = 442,561,805
  5. Step 5: Solve for x
    x = 442,561,805/25,113.96
  6. Step 6: Final answer
    x = 17,622.14

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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.