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Finding the Fourth Proportional to 24,904.16, 37,350.96 and 8,260.32

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Solution

The fourth proportional to 24,904.16, 37,350.96 and 8,260.32 is: 12,388.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,904.16 : 37,350.96 = 8,260.32 : x
  2. Step 2: Convert to fraction form
    24,904.16/37,350.96 = 8,260.32/x
  3. Step 3: Cross multiply
    24,904.16x = 37,350.96 × 8,260.32
  4. Step 4: Simplify right side
    24,904.16x = 308,530,881.91
  5. Step 5: Solve for x
    x = 308,530,881.91/24,904.16
  6. Step 6: Final answer
    x = 12,388.73

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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.