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Finding the Fourth Proportional to 25,246, 37,879.74 and 10,465.66

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Solution

The fourth proportional to 25,246, 37,879.74 and 10,465.66 is: 15,702.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,246 : 37,879.74 = 10,465.66 : x
  2. Step 2: Convert to fraction form
    25,246/37,879.74 = 10,465.66/x
  3. Step 3: Cross multiply
    25,246x = 37,879.74 × 10,465.66
  4. Step 4: Simplify right side
    25,246x = 396,436,479.73
  5. Step 5: Solve for x
    x = 396,436,479.73/25,246
  6. Step 6: Final answer
    x = 15,702.94

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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.