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Finding the Fourth Proportional to 13,354.96, 18,433.56 and 7,767.04

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Solution

The fourth proportional to 13,354.96, 18,433.56 and 7,767.04 is: 10,720.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,354.96 : 18,433.56 = 7,767.04 : x
  2. Step 2: Convert to fraction form
    13,354.96/18,433.56 = 7,767.04/x
  3. Step 3: Cross multiply
    13,354.96x = 18,433.56 × 7,767.04
  4. Step 4: Simplify right side
    13,354.96x = 143,174,197.86
  5. Step 5: Solve for x
    x = 143,174,197.86/13,354.96
  6. Step 6: Final answer
    x = 10,720.68

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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.