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Finding the Fourth Proportional to 14,861.64, 20,509.30 and 8,893.56

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Solution

The fourth proportional to 14,861.64, 20,509.30 and 8,893.56 is: 12,273.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,861.64 : 20,509.30 = 8,893.56 : x
  2. Step 2: Convert to fraction form
    14,861.64/20,509.30 = 8,893.56/x
  3. Step 3: Cross multiply
    14,861.64x = 20,509.30 × 8,893.56
  4. Step 4: Simplify right side
    14,861.64x = 182,400,690.11
  5. Step 5: Solve for x
    x = 182,400,690.11/14,861.64
  6. Step 6: Final answer
    x = 12,273.25

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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.