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Finding the Fourth Proportional to 14,142.90, 19,518.12 and 8,176.44

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Solution

The fourth proportional to 14,142.90, 19,518.12 and 8,176.44 is: 11,284.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,142.90 : 19,518.12 = 8,176.44 : x
  2. Step 2: Convert to fraction form
    14,142.90/19,518.12 = 8,176.44/x
  3. Step 3: Cross multiply
    14,142.90x = 19,518.12 × 8,176.44
  4. Step 4: Simplify right side
    14,142.90x = 159,588,737.09
  5. Step 5: Solve for x
    x = 159,588,737.09/14,142.90
  6. Step 6: Final answer
    x = 11,284.02

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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.