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Finding the Fourth Proportional to 25,341.44, 38,012.16 and 7,811.28

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Solution

The fourth proportional to 25,341.44, 38,012.16 and 7,811.28 is: 11,716.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,341.44 : 38,012.16 = 7,811.28 : x
  2. Step 2: Convert to fraction form
    25,341.44/38,012.16 = 7,811.28/x
  3. Step 3: Cross multiply
    25,341.44x = 38,012.16 × 7,811.28
  4. Step 4: Simplify right side
    25,341.44x = 296,923,625.16
  5. Step 5: Solve for x
    x = 296,923,625.16/25,341.44
  6. Step 6: Final answer
    x = 11,716.92

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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.