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Finding the Fourth Proportional to 14,290.16, 21,433.56 and 5,965.12

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Solution

The fourth proportional to 14,290.16, 21,433.56 and 5,965.12 is: 8,946.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,290.16 : 21,433.56 = 5,965.12 : x
  2. Step 2: Convert to fraction form
    14,290.16/21,433.56 = 5,965.12/x
  3. Step 3: Cross multiply
    14,290.16x = 21,433.56 × 5,965.12
  4. Step 4: Simplify right side
    14,290.16x = 127,853,757.43
  5. Step 5: Solve for x
    x = 127,853,757.43/14,290.16
  6. Step 6: Final answer
    x = 8,946.98

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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.