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Finding the Fourth Proportional to 23,656.70, 32,644.75 and 13,578.05

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Solution

The fourth proportional to 23,656.70, 32,644.75 and 13,578.05 is: 18,736.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,656.70 : 32,644.75 = 13,578.05 : x
  2. Step 2: Convert to fraction form
    23,656.70/32,644.75 = 13,578.05/x
  3. Step 3: Cross multiply
    23,656.70x = 32,644.75 × 13,578.05
  4. Step 4: Simplify right side
    23,656.70x = 443,252,047.74
  5. Step 5: Solve for x
    x = 443,252,047.74/23,656.70
  6. Step 6: Final answer
    x = 18,736.85

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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.