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Finding the Fourth Proportional to 19,863.22, 29,798.50 and 6,536.96

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Solution

The fourth proportional to 19,863.22, 29,798.50 and 6,536.96 is: 9,806.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,863.22 : 29,798.50 = 6,536.96 : x
  2. Step 2: Convert to fraction form
    19,863.22/29,798.50 = 6,536.96/x
  3. Step 3: Cross multiply
    19,863.22x = 29,798.50 × 6,536.96
  4. Step 4: Simplify right side
    19,863.22x = 194,791,602.56
  5. Step 5: Solve for x
    x = 194,791,602.56/19,863.22
  6. Step 6: Final answer
    x = 9,806.65

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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.