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Finding the Fourth Proportional to 16,051.85, 22,151.61 and 8,977.82

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Solution

The fourth proportional to 16,051.85, 22,151.61 and 8,977.82 is: 12,389.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,051.85 : 22,151.61 = 8,977.82 : x
  2. Step 2: Convert to fraction form
    16,051.85/22,151.61 = 8,977.82/x
  3. Step 3: Cross multiply
    16,051.85x = 22,151.61 × 8,977.82
  4. Step 4: Simplify right side
    16,051.85x = 198,873,167.29
  5. Step 5: Solve for x
    x = 198,873,167.29/16,051.85
  6. Step 6: Final answer
    x = 12,389.42

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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.