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Finding the Fourth Proportional to 16,297.60, 22,485.42 and 9,126.44

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Solution

The fourth proportional to 16,297.60, 22,485.42 and 9,126.44 is: 12,591.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,297.60 : 22,485.42 = 9,126.44 : x
  2. Step 2: Convert to fraction form
    16,297.60/22,485.42 = 9,126.44/x
  3. Step 3: Cross multiply
    16,297.60x = 22,485.42 × 9,126.44
  4. Step 4: Simplify right side
    16,297.60x = 205,211,678.45
  5. Step 5: Solve for x
    x = 205,211,678.45/16,297.60
  6. Step 6: Final answer
    x = 12,591.53

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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.