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Finding the Fourth Proportional to 16,269.21, 22,442.83 and 9,897.75

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Solution

The fourth proportional to 16,269.21, 22,442.83 and 9,897.75 is: 13,653.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,269.21 : 22,442.83 = 9,897.75 : x
  2. Step 2: Convert to fraction form
    16,269.21/22,442.83 = 9,897.75/x
  3. Step 3: Cross multiply
    16,269.21x = 22,442.83 × 9,897.75
  4. Step 4: Simplify right side
    16,269.21x = 222,133,495.89
  5. Step 5: Solve for x
    x = 222,133,495.89/16,269.21
  6. Step 6: Final answer
    x = 13,653.61

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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.