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Finding the Fourth Proportional to 19,742.19, 29,613.41 and 7,896.95

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Solution

The fourth proportional to 19,742.19, 29,613.41 and 7,896.95 is: 11,845.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,742.19 : 29,613.41 = 7,896.95 : x
  2. Step 2: Convert to fraction form
    19,742.19/29,613.41 = 7,896.95/x
  3. Step 3: Cross multiply
    19,742.19x = 29,613.41 × 7,896.95
  4. Step 4: Simplify right side
    19,742.19x = 233,855,711.88
  5. Step 5: Solve for x
    x = 233,855,711.88/19,742.19
  6. Step 6: Final answer
    x = 11,845.48

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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.