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Finding the Fourth Proportional to 20,559.12, 28,370.16 and 12,174

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Solution

The fourth proportional to 20,559.12, 28,370.16 and 12,174 is: 16,799.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,559.12 : 28,370.16 = 12,174 : x
  2. Step 2: Convert to fraction form
    20,559.12/28,370.16 = 12,174/x
  3. Step 3: Cross multiply
    20,559.12x = 28,370.16 × 12,174
  4. Step 4: Simplify right side
    20,559.12x = 345,378,327.84
  5. Step 5: Solve for x
    x = 345,378,327.84/20,559.12
  6. Step 6: Final answer
    x = 16,799.28

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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.