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Finding the Fourth Proportional to 14,202.54, 21,297.33 and 6,810.48

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Solution

The fourth proportional to 14,202.54, 21,297.33 and 6,810.48 is: 10,212.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,202.54 : 21,297.33 = 6,810.48 : x
  2. Step 2: Convert to fraction form
    14,202.54/21,297.33 = 6,810.48/x
  3. Step 3: Cross multiply
    14,202.54x = 21,297.33 × 6,810.48
  4. Step 4: Simplify right side
    14,202.54x = 145,045,040.02
  5. Step 5: Solve for x
    x = 145,045,040.02/14,202.54
  6. Step 6: Final answer
    x = 10,212.61

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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.