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Finding the Fourth Proportional to 18,626.96, 25,705.31 and 10,129.17

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Solution

The fourth proportional to 18,626.96, 25,705.31 and 10,129.17 is: 13,978.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,626.96 : 25,705.31 = 10,129.17 : x
  2. Step 2: Convert to fraction form
    18,626.96/25,705.31 = 10,129.17/x
  3. Step 3: Cross multiply
    18,626.96x = 25,705.31 × 10,129.17
  4. Step 4: Simplify right side
    18,626.96x = 260,373,404.25
  5. Step 5: Solve for x
    x = 260,373,404.25/18,626.96
  6. Step 6: Final answer
    x = 13,978.31

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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.