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Finding the Fourth Proportional to 19,512.69, 29,268.01 and 5,473.69

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Solution

The fourth proportional to 19,512.69, 29,268.01 and 5,473.69 is: 8,210.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,512.69 : 29,268.01 = 5,473.69 : x
  2. Step 2: Convert to fraction form
    19,512.69/29,268.01 = 5,473.69/x
  3. Step 3: Cross multiply
    19,512.69x = 29,268.01 × 5,473.69
  4. Step 4: Simplify right side
    19,512.69x = 160,203,839.95
  5. Step 5: Solve for x
    x = 160,203,839.95/19,512.69
  6. Step 6: Final answer
    x = 8,210.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.