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Finding the Fourth Proportional to 25,852.47, 38,782.37 and 8,318.22

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Solution

The fourth proportional to 25,852.47, 38,782.37 and 8,318.22 is: 12,478.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,852.47 : 38,782.37 = 8,318.22 : x
  2. Step 2: Convert to fraction form
    25,852.47/38,782.37 = 8,318.22/x
  3. Step 3: Cross multiply
    25,852.47x = 38,782.37 × 8,318.22
  4. Step 4: Simplify right side
    25,852.47x = 322,600,285.78
  5. Step 5: Solve for x
    x = 322,600,285.78/25,852.47
  6. Step 6: Final answer
    x = 12,478.51

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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.