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Finding the Fourth Proportional to 43,420.19, 65,097.43 and 13,820.96

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Solution

The fourth proportional to 43,420.19, 65,097.43 and 13,820.96 is: 20,720.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,420.19 : 65,097.43 = 13,820.96 : x
  2. Step 2: Convert to fraction form
    43,420.19/65,097.43 = 13,820.96/x
  3. Step 3: Cross multiply
    43,420.19x = 65,097.43 × 13,820.96
  4. Step 4: Simplify right side
    43,420.19x = 899,709,104.32
  5. Step 5: Solve for x
    x = 899,709,104.32/43,420.19
  6. Step 6: Final answer
    x = 20,720.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.