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Finding the Fourth Proportional to 23,048.16, 31,797.44 and 12,974.32

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Solution

The fourth proportional to 23,048.16, 31,797.44 and 12,974.32 is: 17,899.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,048.16 : 31,797.44 = 12,974.32 : x
  2. Step 2: Convert to fraction form
    23,048.16/31,797.44 = 12,974.32/x
  3. Step 3: Cross multiply
    23,048.16x = 31,797.44 × 12,974.32
  4. Step 4: Simplify right side
    23,048.16x = 412,550,161.74
  5. Step 5: Solve for x
    x = 412,550,161.74/23,048.16
  6. Step 6: Final answer
    x = 17,899.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.