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Finding the Fourth Proportional to 16,164.86, 22,305.69 and 8,994.50

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Solution

The fourth proportional to 16,164.86, 22,305.69 and 8,994.50 is: 12,411.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,164.86 : 22,305.69 = 8,994.50 : x
  2. Step 2: Convert to fraction form
    16,164.86/22,305.69 = 8,994.50/x
  3. Step 3: Cross multiply
    16,164.86x = 22,305.69 × 8,994.50
  4. Step 4: Simplify right side
    16,164.86x = 200,628,528.71
  5. Step 5: Solve for x
    x = 200,628,528.71/16,164.86
  6. Step 6: Final answer
    x = 12,411.40

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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.