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Finding the Fourth Proportional to 25,223.63, 37,835.76 and 8,584.01

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Solution

The fourth proportional to 25,223.63, 37,835.76 and 8,584.01 is: 12,876.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,223.63 : 37,835.76 = 8,584.01 : x
  2. Step 2: Convert to fraction form
    25,223.63/37,835.76 = 8,584.01/x
  3. Step 3: Cross multiply
    25,223.63x = 37,835.76 × 8,584.01
  4. Step 4: Simplify right side
    25,223.63x = 324,782,310.10
  5. Step 5: Solve for x
    x = 324,782,310.10/25,223.63
  6. Step 6: Final answer
    x = 12,876.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.