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Finding the Fourth Proportional to 14,181.54, 19,574.82 and 8,214.66

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Solution

The fourth proportional to 14,181.54, 19,574.82 and 8,214.66 is: 11,338.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,181.54 : 19,574.82 = 8,214.66 : x
  2. Step 2: Convert to fraction form
    14,181.54/19,574.82 = 8,214.66/x
  3. Step 3: Cross multiply
    14,181.54x = 19,574.82 × 8,214.66
  4. Step 4: Simplify right side
    14,181.54x = 160,800,490.86
  5. Step 5: Solve for x
    x = 160,800,490.86/14,181.54
  6. Step 6: Final answer
    x = 11,338.72

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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.