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Finding the Fourth Proportional to 25,605.34, 38,414.50 and 7,137.34

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Solution

The fourth proportional to 25,605.34, 38,414.50 and 7,137.34 is: 10,707.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,605.34 : 38,414.50 = 7,137.34 : x
  2. Step 2: Convert to fraction form
    25,605.34/38,414.50 = 7,137.34/x
  3. Step 3: Cross multiply
    25,605.34x = 38,414.50 × 7,137.34
  4. Step 4: Simplify right side
    25,605.34x = 274,177,347.43
  5. Step 5: Solve for x
    x = 274,177,347.43/25,605.34
  6. Step 6: Final answer
    x = 10,707.82

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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.