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Finding the Fourth Proportional to 25,102.71, 37,657.56 and 8,467.50

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Solution

The fourth proportional to 25,102.71, 37,657.56 and 8,467.50 is: 12,702.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,102.71 : 37,657.56 = 8,467.50 : x
  2. Step 2: Convert to fraction form
    25,102.71/37,657.56 = 8,467.50/x
  3. Step 3: Cross multiply
    25,102.71x = 37,657.56 × 8,467.50
  4. Step 4: Simplify right side
    25,102.71x = 318,865,389.30
  5. Step 5: Solve for x
    x = 318,865,389.30/25,102.71
  6. Step 6: Final answer
    x = 12,702.43

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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.