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Finding the Fourth Proportional to 25,138.77, 37,704 and 8,498.41

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Solution

The fourth proportional to 25,138.77, 37,704 and 8,498.41 is: 12,746.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,138.77 : 37,704 = 8,498.41 : x
  2. Step 2: Convert to fraction form
    25,138.77/37,704 = 8,498.41/x
  3. Step 3: Cross multiply
    25,138.77x = 37,704 × 8,498.41
  4. Step 4: Simplify right side
    25,138.77x = 320,424,050.64
  5. Step 5: Solve for x
    x = 320,424,050.64/25,138.77
  6. Step 6: Final answer
    x = 12,746.21

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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.