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Finding the Fourth Proportional to 14,234.33, 21,351.03 and 6,443.15

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Solution

The fourth proportional to 14,234.33, 21,351.03 and 6,443.15 is: 9,664.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,234.33 : 21,351.03 = 6,443.15 : x
  2. Step 2: Convert to fraction form
    14,234.33/21,351.03 = 6,443.15/x
  3. Step 3: Cross multiply
    14,234.33x = 21,351.03 × 6,443.15
  4. Step 4: Simplify right side
    14,234.33x = 137,567,782.19
  5. Step 5: Solve for x
    x = 137,567,782.19/14,234.33
  6. Step 6: Final answer
    x = 9,664.51

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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.