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Finding the Fourth Proportional to 24,904, 37,361.92 and 8,488

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Solution

The fourth proportional to 24,904, 37,361.92 and 8,488 is: 12,734.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,904 : 37,361.92 = 8,488 : x
  2. Step 2: Convert to fraction form
    24,904/37,361.92 = 8,488/x
  3. Step 3: Cross multiply
    24,904x = 37,361.92 × 8,488
  4. Step 4: Simplify right side
    24,904x = 317,127,976.96
  5. Step 5: Solve for x
    x = 317,127,976.96/24,904
  6. Step 6: Final answer
    x = 12,734.02

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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.