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Finding the Fourth Proportional to 19,642.93, 29,446.96 and 7,160.63

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Solution

The fourth proportional to 19,642.93, 29,446.96 and 7,160.63 is: 10,734.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,642.93 : 29,446.96 = 7,160.63 : x
  2. Step 2: Convert to fraction form
    19,642.93/29,446.96 = 7,160.63/x
  3. Step 3: Cross multiply
    19,642.93x = 29,446.96 × 7,160.63
  4. Step 4: Simplify right side
    19,642.93x = 210,858,785.18
  5. Step 5: Solve for x
    x = 210,858,785.18/19,642.93
  6. Step 6: Final answer
    x = 10,734.59

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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.