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Finding the Fourth Proportional to 25,223.26, 37,835.19 and 8,583.63

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Solution

The fourth proportional to 25,223.26, 37,835.19 and 8,583.63 is: 12,875.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,223.26 : 37,835.19 = 8,583.63 : x
  2. Step 2: Convert to fraction form
    25,223.26/37,835.19 = 8,583.63/x
  3. Step 3: Cross multiply
    25,223.26x = 37,835.19 × 8,583.63
  4. Step 4: Simplify right side
    25,223.26x = 324,763,271.94
  5. Step 5: Solve for x
    x = 324,763,271.94/25,223.26
  6. Step 6: Final answer
    x = 12,875.55

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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.