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Finding the Fourth Proportional to 14,999.34, 20,697.32 and 8,284.57

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Solution

The fourth proportional to 14,999.34, 20,697.32 and 8,284.57 is: 11,431.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,999.34 : 20,697.32 = 8,284.57 : x
  2. Step 2: Convert to fraction form
    14,999.34/20,697.32 = 8,284.57/x
  3. Step 3: Cross multiply
    14,999.34x = 20,697.32 × 8,284.57
  4. Step 4: Simplify right side
    14,999.34x = 171,468,396.35
  5. Step 5: Solve for x
    x = 171,468,396.35/14,999.34
  6. Step 6: Final answer
    x = 11,431.73

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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.