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Finding the Fourth Proportional to 19,856.39, 29,739.22 and 9,475.43

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Solution

The fourth proportional to 19,856.39, 29,739.22 and 9,475.43 is: 14,191.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,856.39 : 29,739.22 = 9,475.43 : x
  2. Step 2: Convert to fraction form
    19,856.39/29,739.22 = 9,475.43/x
  3. Step 3: Cross multiply
    19,856.39x = 29,739.22 × 9,475.43
  4. Step 4: Simplify right side
    19,856.39x = 281,791,724.98
  5. Step 5: Solve for x
    x = 281,791,724.98/19,856.39
  6. Step 6: Final answer
    x = 14,191.49

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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.