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Finding the Fourth Proportional to 14,461.96, 21,662.58 and 9,194.32

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Solution

The fourth proportional to 14,461.96, 21,662.58 and 9,194.32 is: 13,772.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,461.96 : 21,662.58 = 9,194.32 : x
  2. Step 2: Convert to fraction form
    14,461.96/21,662.58 = 9,194.32/x
  3. Step 3: Cross multiply
    14,461.96x = 21,662.58 × 9,194.32
  4. Step 4: Simplify right side
    14,461.96x = 199,172,692.55
  5. Step 5: Solve for x
    x = 199,172,692.55/14,461.96
  6. Step 6: Final answer
    x = 13,772.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.