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Finding the Fourth Proportional to 14,147.54, 19,521.42 and 8,178.05

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Solution

The fourth proportional to 14,147.54, 19,521.42 and 8,178.05 is: 11,284.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,147.54 : 19,521.42 = 8,178.05 : x
  2. Step 2: Convert to fraction form
    14,147.54/19,521.42 = 8,178.05/x
  3. Step 3: Cross multiply
    14,147.54x = 19,521.42 × 8,178.05
  4. Step 4: Simplify right side
    14,147.54x = 159,647,051.22
  5. Step 5: Solve for x
    x = 159,647,051.22/14,147.54
  6. Step 6: Final answer
    x = 11,284.44

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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.