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Finding the Fourth Proportional to 25,182.63, 37,771.38 and 8,542.26

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Solution

The fourth proportional to 25,182.63, 37,771.38 and 8,542.26 is: 12,812.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,182.63 : 37,771.38 = 8,542.26 : x
  2. Step 2: Convert to fraction form
    25,182.63/37,771.38 = 8,542.26/x
  3. Step 3: Cross multiply
    25,182.63x = 37,771.38 × 8,542.26
  4. Step 4: Simplify right side
    25,182.63x = 322,652,948.52
  5. Step 5: Solve for x
    x = 322,652,948.52/25,182.63
  6. Step 6: Final answer
    x = 12,812.52

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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.