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Finding the Fourth Proportional to 10,314.54, 14,217.93 and 8,632.98

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Solution

The fourth proportional to 10,314.54, 14,217.93 and 8,632.98 is: 11,900.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314.54 : 14,217.93 = 8,632.98 : x
  2. Step 2: Convert to fraction form
    10,314.54/14,217.93 = 8,632.98/x
  3. Step 3: Cross multiply
    10,314.54x = 14,217.93 × 8,632.98
  4. Step 4: Simplify right side
    10,314.54x = 122,743,105.33
  5. Step 5: Solve for x
    x = 122,743,105.33/10,314.54
  6. Step 6: Final answer
    x = 11,900.01

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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.