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Finding the Fourth Proportional to 23,198.71, 32,012.46 and 13,638.99

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Solution

The fourth proportional to 23,198.71, 32,012.46 and 13,638.99 is: 18,820.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,198.71 : 32,012.46 = 13,638.99 : x
  2. Step 2: Convert to fraction form
    23,198.71/32,012.46 = 13,638.99/x
  3. Step 3: Cross multiply
    23,198.71x = 32,012.46 × 13,638.99
  4. Step 4: Simplify right side
    23,198.71x = 436,617,638.86
  5. Step 5: Solve for x
    x = 436,617,638.86/23,198.71
  6. Step 6: Final answer
    x = 18,820.77

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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.