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Finding the Fourth Proportional to 16,389.69, 22,618.44 and 9,219.93

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Solution

The fourth proportional to 16,389.69, 22,618.44 and 9,219.93 is: 12,723.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,389.69 : 22,618.44 = 9,219.93 : x
  2. Step 2: Convert to fraction form
    16,389.69/22,618.44 = 9,219.93/x
  3. Step 3: Cross multiply
    16,389.69x = 22,618.44 × 9,219.93
  4. Step 4: Simplify right side
    16,389.69x = 208,540,433.51
  5. Step 5: Solve for x
    x = 208,540,433.51/16,389.69
  6. Step 6: Final answer
    x = 12,723.88

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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.