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Finding the Fourth Proportional to 16,261.44, 24,321.83 and 9,582.09

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Solution

The fourth proportional to 16,261.44, 24,321.83 and 9,582.09 is: 14,331.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,261.44 : 24,321.83 = 9,582.09 : x
  2. Step 2: Convert to fraction form
    16,261.44/24,321.83 = 9,582.09/x
  3. Step 3: Cross multiply
    16,261.44x = 24,321.83 × 9,582.09
  4. Step 4: Simplify right side
    16,261.44x = 233,053,916.11
  5. Step 5: Solve for x
    x = 233,053,916.11/16,261.44
  6. Step 6: Final answer
    x = 14,331.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.