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Finding the Fourth Proportional to 23,817.90, 32,868.90 and 13,207.68

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Solution

The fourth proportional to 23,817.90, 32,868.90 and 13,207.68 is: 18,226.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,817.90 : 32,868.90 = 13,207.68 : x
  2. Step 2: Convert to fraction form
    23,817.90/32,868.90 = 13,207.68/x
  3. Step 3: Cross multiply
    23,817.90x = 32,868.90 × 13,207.68
  4. Step 4: Simplify right side
    23,817.90x = 434,121,913.15
  5. Step 5: Solve for x
    x = 434,121,913.15/23,817.90
  6. Step 6: Final answer
    x = 18,226.71

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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.