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Finding the Fourth Proportional to 19,532.96, 29,299.16 and 4,742

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Solution

The fourth proportional to 19,532.96, 29,299.16 and 4,742 is: 7,112.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,532.96 : 29,299.16 = 4,742 : x
  2. Step 2: Convert to fraction form
    19,532.96/29,299.16 = 4,742/x
  3. Step 3: Cross multiply
    19,532.96x = 29,299.16 × 4,742
  4. Step 4: Simplify right side
    19,532.96x = 138,936,616.72
  5. Step 5: Solve for x
    x = 138,936,616.72/19,532.96
  6. Step 6: Final answer
    x = 7,112.93

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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.