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Finding the Fourth Proportional to 23,638.86, 32,622.90 and 13,567.21

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Solution

The fourth proportional to 23,638.86, 32,622.90 and 13,567.21 is: 18,723.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,638.86 : 32,622.90 = 13,567.21 : x
  2. Step 2: Convert to fraction form
    23,638.86/32,622.90 = 13,567.21/x
  3. Step 3: Cross multiply
    23,638.86x = 32,622.90 × 13,567.21
  4. Step 4: Simplify right side
    23,638.86x = 442,601,735.11
  5. Step 5: Solve for x
    x = 442,601,735.11/23,638.86
  6. Step 6: Final answer
    x = 18,723.48

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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.