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Finding the Fourth Proportional to 20,430.98, 28,194.78 and 11,478.49

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Solution

The fourth proportional to 20,430.98, 28,194.78 and 11,478.49 is: 15,840.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,430.98 : 28,194.78 = 11,478.49 : x
  2. Step 2: Convert to fraction form
    20,430.98/28,194.78 = 11,478.49/x
  3. Step 3: Cross multiply
    20,430.98x = 28,194.78 × 11,478.49
  4. Step 4: Simplify right side
    20,430.98x = 323,633,500.28
  5. Step 5: Solve for x
    x = 323,633,500.28/20,430.98
  6. Step 6: Final answer
    x = 15,840.33

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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.