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Finding the Fourth Proportional to 16,196.10, 22,342.98 and 9,477.61

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Solution

The fourth proportional to 16,196.10, 22,342.98 and 9,477.61 is: 13,074.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,196.10 : 22,342.98 = 9,477.61 : x
  2. Step 2: Convert to fraction form
    16,196.10/22,342.98 = 9,477.61/x
  3. Step 3: Cross multiply
    16,196.10x = 22,342.98 × 9,477.61
  4. Step 4: Simplify right side
    16,196.10x = 211,757,938.96
  5. Step 5: Solve for x
    x = 211,757,938.96/16,196.10
  6. Step 6: Final answer
    x = 13,074.63

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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.