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Finding the Fourth Proportional to 14,290.17, 21,431.80 and 5,965.68

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Solution

The fourth proportional to 14,290.17, 21,431.80 and 5,965.68 is: 8,947.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,290.17 : 21,431.80 = 5,965.68 : x
  2. Step 2: Convert to fraction form
    14,290.17/21,431.80 = 5,965.68/x
  3. Step 3: Cross multiply
    14,290.17x = 21,431.80 × 5,965.68
  4. Step 4: Simplify right side
    14,290.17x = 127,855,260.62
  5. Step 5: Solve for x
    x = 127,855,260.62/14,290.17
  6. Step 6: Final answer
    x = 8,947.08

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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.