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Finding the Fourth Proportional to 25,314.32, 37,976.82 and 9,519.49

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Solution

The fourth proportional to 25,314.32, 37,976.82 and 9,519.49 is: 14,281.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,314.32 : 37,976.82 = 9,519.49 : x
  2. Step 2: Convert to fraction form
    25,314.32/37,976.82 = 9,519.49/x
  3. Step 3: Cross multiply
    25,314.32x = 37,976.82 × 9,519.49
  4. Step 4: Simplify right side
    25,314.32x = 361,519,969.99
  5. Step 5: Solve for x
    x = 361,519,969.99/25,314.32
  6. Step 6: Final answer
    x = 14,281.24

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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.