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Finding the Fourth Proportional to 24,767.36, 37,120.32 and 17,456

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Solution

The fourth proportional to 24,767.36, 37,120.32 and 17,456 is: 26,162.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,767.36 : 37,120.32 = 17,456 : x
  2. Step 2: Convert to fraction form
    24,767.36/37,120.32 = 17,456/x
  3. Step 3: Cross multiply
    24,767.36x = 37,120.32 × 17,456
  4. Step 4: Simplify right side
    24,767.36x = 647,972,305.92
  5. Step 5: Solve for x
    x = 647,972,305.92/24,767.36
  6. Step 6: Final answer
    x = 26,162.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.