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Finding the Fourth Proportional to 16,314.96, 22,511.83 and 9,602.00

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Solution

The fourth proportional to 16,314.96, 22,511.83 and 9,602.00 is: 13,249.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,314.96 : 22,511.83 = 9,602.00 : x
  2. Step 2: Convert to fraction form
    16,314.96/22,511.83 = 9,602.00/x
  3. Step 3: Cross multiply
    16,314.96x = 22,511.83 × 9,602.00
  4. Step 4: Simplify right side
    16,314.96x = 216,158,431.09
  5. Step 5: Solve for x
    x = 216,158,431.09/16,314.96
  6. Step 6: Final answer
    x = 13,249.09

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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.