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Finding the Fourth Proportional to 23,580, 32,540.40 and 13,644

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Solution

The fourth proportional to 23,580, 32,540.40 and 13,644 is: 18,828.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,580 : 32,540.40 = 13,644 : x
  2. Step 2: Convert to fraction form
    23,580/32,540.40 = 13,644/x
  3. Step 3: Cross multiply
    23,580x = 32,540.40 × 13,644
  4. Step 4: Simplify right side
    23,580x = 443,981,217.60
  5. Step 5: Solve for x
    x = 443,981,217.60/23,580
  6. Step 6: Final answer
    x = 18,828.72

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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.