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Finding the Fourth Proportional to 19,742.86, 29,618.97 and 5,891.50

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Solution

The fourth proportional to 19,742.86, 29,618.97 and 5,891.50 is: 8,838.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,742.86 : 29,618.97 = 5,891.50 : x
  2. Step 2: Convert to fraction form
    19,742.86/29,618.97 = 5,891.50/x
  3. Step 3: Cross multiply
    19,742.86x = 29,618.97 × 5,891.50
  4. Step 4: Simplify right side
    19,742.86x = 174,500,161.76
  5. Step 5: Solve for x
    x = 174,500,161.76/19,742.86
  6. Step 6: Final answer
    x = 8,838.65

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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.