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Finding the Fourth Proportional to 16,494.34, 22,749.60 and 14,198.62

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Solution

The fourth proportional to 16,494.34, 22,749.60 and 14,198.62 is: 19,583.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,494.34 : 22,749.60 = 14,198.62 : x
  2. Step 2: Convert to fraction form
    16,494.34/22,749.60 = 14,198.62/x
  3. Step 3: Cross multiply
    16,494.34x = 22,749.60 × 14,198.62
  4. Step 4: Simplify right side
    16,494.34x = 323,012,925.55
  5. Step 5: Solve for x
    x = 323,012,925.55/16,494.34
  6. Step 6: Final answer
    x = 19,583.26

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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.