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Finding the Fourth Proportional to 25,150, 37,730.40 and 8,510.44

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Solution

The fourth proportional to 25,150, 37,730.40 and 8,510.44 is: 12,767.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,150 : 37,730.40 = 8,510.44 : x
  2. Step 2: Convert to fraction form
    25,150/37,730.40 = 8,510.44/x
  3. Step 3: Cross multiply
    25,150x = 37,730.40 × 8,510.44
  4. Step 4: Simplify right side
    25,150x = 321,102,305.38
  5. Step 5: Solve for x
    x = 321,102,305.38/25,150
  6. Step 6: Final answer
    x = 12,767.49

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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.