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Finding the Fourth Proportional to 13,476.25, 20,218.46 and 6,907.09

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Solution

The fourth proportional to 13,476.25, 20,218.46 and 6,907.09 is: 10,362.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,476.25 : 20,218.46 = 6,907.09 : x
  2. Step 2: Convert to fraction form
    13,476.25/20,218.46 = 6,907.09/x
  3. Step 3: Cross multiply
    13,476.25x = 20,218.46 × 6,907.09
  4. Step 4: Simplify right side
    13,476.25x = 139,650,688.35
  5. Step 5: Solve for x
    x = 139,650,688.35/13,476.25
  6. Step 6: Final answer
    x = 10,362.73

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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.