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Finding the Fourth Proportional to 16,104.96, 22,226.40 and 9,823.68

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Solution

The fourth proportional to 16,104.96, 22,226.40 and 9,823.68 is: 13,557.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,104.96 : 22,226.40 = 9,823.68 : x
  2. Step 2: Convert to fraction form
    16,104.96/22,226.40 = 9,823.68/x
  3. Step 3: Cross multiply
    16,104.96x = 22,226.40 × 9,823.68
  4. Step 4: Simplify right side
    16,104.96x = 218,345,041.15
  5. Step 5: Solve for x
    x = 218,345,041.15/16,104.96
  6. Step 6: Final answer
    x = 13,557.63

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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.