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Finding the Fourth Proportional to 14,213.71, 21,319.62 and 5,891.59

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Solution

The fourth proportional to 14,213.71, 21,319.62 and 5,891.59 is: 8,836.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,213.71 : 21,319.62 = 5,891.59 : x
  2. Step 2: Convert to fraction form
    14,213.71/21,319.62 = 5,891.59/x
  3. Step 3: Cross multiply
    14,213.71x = 21,319.62 × 5,891.59
  4. Step 4: Simplify right side
    14,213.71x = 125,606,460.00
  5. Step 5: Solve for x
    x = 125,606,460.00/14,213.71
  6. Step 6: Final answer
    x = 8,836.99

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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.