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Finding the Fourth Proportional to 16,353.97, 22,566.62 and 9,182.94

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Solution

The fourth proportional to 16,353.97, 22,566.62 and 9,182.94 is: 12,671.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,353.97 : 22,566.62 = 9,182.94 : x
  2. Step 2: Convert to fraction form
    16,353.97/22,566.62 = 9,182.94/x
  3. Step 3: Cross multiply
    16,353.97x = 22,566.62 × 9,182.94
  4. Step 4: Simplify right side
    16,353.97x = 207,227,804.14
  5. Step 5: Solve for x
    x = 207,227,804.14/16,353.97
  6. Step 6: Final answer
    x = 12,671.41

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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.