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Finding the Fourth Proportional to 16,227.86, 22,389.18 and 9,056.60

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Solution

The fourth proportional to 16,227.86, 22,389.18 and 9,056.60 is: 12,495.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,227.86 : 22,389.18 = 9,056.60 : x
  2. Step 2: Convert to fraction form
    16,227.86/22,389.18 = 9,056.60/x
  3. Step 3: Cross multiply
    16,227.86x = 22,389.18 × 9,056.60
  4. Step 4: Simplify right side
    16,227.86x = 202,769,847.59
  5. Step 5: Solve for x
    x = 202,769,847.59/16,227.86
  6. Step 6: Final answer
    x = 12,495.17

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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.