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Finding the Fourth Proportional to 19,638.42, 29,465.44 and 7,159.29

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Solution

The fourth proportional to 19,638.42, 29,465.44 and 7,159.29 is: 10,741.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,638.42 : 29,465.44 = 7,159.29 : x
  2. Step 2: Convert to fraction form
    19,638.42/29,465.44 = 7,159.29/x
  3. Step 3: Cross multiply
    19,638.42x = 29,465.44 × 7,159.29
  4. Step 4: Simplify right side
    19,638.42x = 210,951,501.54
  5. Step 5: Solve for x
    x = 210,951,501.54/19,638.42
  6. Step 6: Final answer
    x = 10,741.78

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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.