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Finding the Fourth Proportional to 19,471.32, 29,199.06 and 6,142.68

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Solution

The fourth proportional to 19,471.32, 29,199.06 and 6,142.68 is: 9,211.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,471.32 : 29,199.06 = 6,142.68 : x
  2. Step 2: Convert to fraction form
    19,471.32/29,199.06 = 6,142.68/x
  3. Step 3: Cross multiply
    19,471.32x = 29,199.06 × 6,142.68
  4. Step 4: Simplify right side
    19,471.32x = 179,360,481.88
  5. Step 5: Solve for x
    x = 179,360,481.88/19,471.32
  6. Step 6: Final answer
    x = 9,211.52

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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.