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Finding the Fourth Proportional to 25,263.50, 37,895.24 and 7,731.05

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Solution

The fourth proportional to 25,263.50, 37,895.24 and 7,731.05 is: 11,596.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,263.50 : 37,895.24 = 7,731.05 : x
  2. Step 2: Convert to fraction form
    25,263.50/37,895.24 = 7,731.05/x
  3. Step 3: Cross multiply
    25,263.50x = 37,895.24 × 7,731.05
  4. Step 4: Simplify right side
    25,263.50x = 292,969,825.05
  5. Step 5: Solve for x
    x = 292,969,825.05/25,263.50
  6. Step 6: Final answer
    x = 11,596.57

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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.