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Finding the Fourth Proportional to 23,853.70, 32,922.30 and 14,906.98

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Solution

The fourth proportional to 23,853.70, 32,922.30 and 14,906.98 is: 20,574.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,853.70 : 32,922.30 = 14,906.98 : x
  2. Step 2: Convert to fraction form
    23,853.70/32,922.30 = 14,906.98/x
  3. Step 3: Cross multiply
    23,853.70x = 32,922.30 × 14,906.98
  4. Step 4: Simplify right side
    23,853.70x = 490,772,067.65
  5. Step 5: Solve for x
    x = 490,772,067.65/23,853.70
  6. Step 6: Final answer
    x = 20,574.25

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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.