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Finding the Fourth Proportional to 20,058.96, 27,734.23 and 17,567.84

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Solution

The fourth proportional to 20,058.96, 27,734.23 and 17,567.84 is: 24,289.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,058.96 : 27,734.23 = 17,567.84 : x
  2. Step 2: Convert to fraction form
    20,058.96/27,734.23 = 17,567.84/x
  3. Step 3: Cross multiply
    20,058.96x = 27,734.23 × 17,567.84
  4. Step 4: Simplify right side
    20,058.96x = 487,230,515.16
  5. Step 5: Solve for x
    x = 487,230,515.16/20,058.96
  6. Step 6: Final answer
    x = 24,289.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.