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Finding the Fourth Proportional to 23,608.70, 32,580.41 and 12,853.88

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Solution

The fourth proportional to 23,608.70, 32,580.41 and 12,853.88 is: 17,738.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,608.70 : 32,580.41 = 12,853.88 : x
  2. Step 2: Convert to fraction form
    23,608.70/32,580.41 = 12,853.88/x
  3. Step 3: Cross multiply
    23,608.70x = 32,580.41 × 12,853.88
  4. Step 4: Simplify right side
    23,608.70x = 418,784,453.32
  5. Step 5: Solve for x
    x = 418,784,453.32/23,608.70
  6. Step 6: Final answer
    x = 17,738.57

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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.