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Finding the Fourth Proportional to 16,159.86, 22,300.74 and 9,086.22

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Solution

The fourth proportional to 16,159.86, 22,300.74 and 9,086.22 is: 12,539.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,159.86 : 22,300.74 = 9,086.22 : x
  2. Step 2: Convert to fraction form
    16,159.86/22,300.74 = 9,086.22/x
  3. Step 3: Cross multiply
    16,159.86x = 22,300.74 × 9,086.22
  4. Step 4: Simplify right side
    16,159.86x = 202,629,429.80
  5. Step 5: Solve for x
    x = 202,629,429.80/16,159.86
  6. Step 6: Final answer
    x = 12,539.06

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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.