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Finding the Fourth Proportional to 20,705.26, 28,565.98 and 13,539.37

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Solution

The fourth proportional to 20,705.26, 28,565.98 and 13,539.37 is: 18,679.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,705.26 : 28,565.98 = 13,539.37 : x
  2. Step 2: Convert to fraction form
    20,705.26/28,565.98 = 13,539.37/x
  3. Step 3: Cross multiply
    20,705.26x = 28,565.98 × 13,539.37
  4. Step 4: Simplify right side
    20,705.26x = 386,765,372.63
  5. Step 5: Solve for x
    x = 386,765,372.63/20,705.26
  6. Step 6: Final answer
    x = 18,679.57

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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.