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Finding the Fourth Proportional to 25,296.43, 37,935.74 and 8,424.86

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Solution

The fourth proportional to 25,296.43, 37,935.74 and 8,424.86 is: 12,634.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,296.43 : 37,935.74 = 8,424.86 : x
  2. Step 2: Convert to fraction form
    25,296.43/37,935.74 = 8,424.86/x
  3. Step 3: Cross multiply
    25,296.43x = 37,935.74 × 8,424.86
  4. Step 4: Simplify right side
    25,296.43x = 319,603,298.50
  5. Step 5: Solve for x
    x = 319,603,298.50/25,296.43
  6. Step 6: Final answer
    x = 12,634.32

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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.