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Finding the Fourth Proportional to 13,009.31, 19,524.90 and 6,771.50

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Solution

The fourth proportional to 13,009.31, 19,524.90 and 6,771.50 is: 10,162.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009.31 : 19,524.90 = 6,771.50 : x
  2. Step 2: Convert to fraction form
    13,009.31/19,524.90 = 6,771.50/x
  3. Step 3: Cross multiply
    13,009.31x = 19,524.90 × 6,771.50
  4. Step 4: Simplify right side
    13,009.31x = 132,212,860.35
  5. Step 5: Solve for x
    x = 132,212,860.35/13,009.31
  6. Step 6: Final answer
    x = 10,162.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.