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Finding the Fourth Proportional to 20,840.45, 28,759.80 and 11,409

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Solution

The fourth proportional to 20,840.45, 28,759.80 and 11,409 is: 15,744.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,840.45 : 28,759.80 = 11,409 : x
  2. Step 2: Convert to fraction form
    20,840.45/28,759.80 = 11,409/x
  3. Step 3: Cross multiply
    20,840.45x = 28,759.80 × 11,409
  4. Step 4: Simplify right side
    20,840.45x = 328,120,558.20
  5. Step 5: Solve for x
    x = 328,120,558.20/20,840.45
  6. Step 6: Final answer
    x = 15,744.41

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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.