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Finding the Fourth Proportional to 17,723.96, 26,584.98 and 5,411

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Solution

The fourth proportional to 17,723.96, 26,584.98 and 5,411 is: 8,116.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,723.96 : 26,584.98 = 5,411 : x
  2. Step 2: Convert to fraction form
    17,723.96/26,584.98 = 5,411/x
  3. Step 3: Cross multiply
    17,723.96x = 26,584.98 × 5,411
  4. Step 4: Simplify right side
    17,723.96x = 143,851,326.78
  5. Step 5: Solve for x
    x = 143,851,326.78/17,723.96
  6. Step 6: Final answer
    x = 8,116.21

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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.