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Finding the Fourth Proportional to 25,145.78, 37,722.74 and 8,506.80

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Solution

The fourth proportional to 25,145.78, 37,722.74 and 8,506.80 is: 12,761.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,145.78 : 37,722.74 = 8,506.80 : x
  2. Step 2: Convert to fraction form
    25,145.78/37,722.74 = 8,506.80/x
  3. Step 3: Cross multiply
    25,145.78x = 37,722.74 × 8,506.80
  4. Step 4: Simplify right side
    25,145.78x = 320,899,762.10
  5. Step 5: Solve for x
    x = 320,899,762.10/25,145.78
  6. Step 6: Final answer
    x = 12,761.58

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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.