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Finding the Fourth Proportional to 23,392.53, 32,282.48 and 12,782.84

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Solution

The fourth proportional to 23,392.53, 32,282.48 and 12,782.84 is: 17,640.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,392.53 : 32,282.48 = 12,782.84 : x
  2. Step 2: Convert to fraction form
    23,392.53/32,282.48 = 12,782.84/x
  3. Step 3: Cross multiply
    23,392.53x = 32,282.48 × 12,782.84
  4. Step 4: Simplify right side
    23,392.53x = 412,661,889.31
  5. Step 5: Solve for x
    x = 412,661,889.31/23,392.53
  6. Step 6: Final answer
    x = 17,640.75

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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.