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Finding the Fourth Proportional to 29,495.34, 44,213.85 and 13,705.20

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Solution

The fourth proportional to 29,495.34, 44,213.85 and 13,705.20 is: 20,544.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,495.34 : 44,213.85 = 13,705.20 : x
  2. Step 2: Convert to fraction form
    29,495.34/44,213.85 = 13,705.20/x
  3. Step 3: Cross multiply
    29,495.34x = 44,213.85 × 13,705.20
  4. Step 4: Simplify right side
    29,495.34x = 605,959,657.02
  5. Step 5: Solve for x
    x = 605,959,657.02/29,495.34
  6. Step 6: Final answer
    x = 20,544.25

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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.