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Finding the Fourth Proportional to 25,539.41, 38,309.11 and 7,071.41

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Solution

The fourth proportional to 25,539.41, 38,309.11 and 7,071.41 is: 10,607.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,539.41 : 38,309.11 = 7,071.41 : x
  2. Step 2: Convert to fraction form
    25,539.41/38,309.11 = 7,071.41/x
  3. Step 3: Cross multiply
    25,539.41x = 38,309.11 × 7,071.41
  4. Step 4: Simplify right side
    25,539.41x = 270,899,232.00
  5. Step 5: Solve for x
    x = 270,899,232.00/25,539.41
  6. Step 6: Final answer
    x = 10,607.11

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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.