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Finding the Fourth Proportional to 16,199.82, 22,355.65 and 9,128.52

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Solution

The fourth proportional to 16,199.82, 22,355.65 and 9,128.52 is: 12,597.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,199.82 : 22,355.65 = 9,128.52 : x
  2. Step 2: Convert to fraction form
    16,199.82/22,355.65 = 9,128.52/x
  3. Step 3: Cross multiply
    16,199.82x = 22,355.65 × 9,128.52
  4. Step 4: Simplify right side
    16,199.82x = 204,073,840.72
  5. Step 5: Solve for x
    x = 204,073,840.72/16,199.82
  6. Step 6: Final answer
    x = 12,597.29

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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.