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Finding the Fourth Proportional to 14,114.44, 19,478.64 and 8,147.98

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Solution

The fourth proportional to 14,114.44, 19,478.64 and 8,147.98 is: 11,244.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,114.44 : 19,478.64 = 8,147.98 : x
  2. Step 2: Convert to fraction form
    14,114.44/19,478.64 = 8,147.98/x
  3. Step 3: Cross multiply
    14,114.44x = 19,478.64 × 8,147.98
  4. Step 4: Simplify right side
    14,114.44x = 158,711,569.15
  5. Step 5: Solve for x
    x = 158,711,569.15/14,114.44
  6. Step 6: Final answer
    x = 11,244.62

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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.