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Finding the Fourth Proportional to 23,709.70, 32,720.32 and 13,638.12

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Solution

The fourth proportional to 23,709.70, 32,720.32 and 13,638.12 is: 18,821.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,709.70 : 32,720.32 = 13,638.12 : x
  2. Step 2: Convert to fraction form
    23,709.70/32,720.32 = 13,638.12/x
  3. Step 3: Cross multiply
    23,709.70x = 32,720.32 × 13,638.12
  4. Step 4: Simplify right side
    23,709.70x = 446,243,650.60
  5. Step 5: Solve for x
    x = 446,243,650.60/23,709.70
  6. Step 6: Final answer
    x = 18,821.14

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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.