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Finding the Fourth Proportional to 14,659.94, 21,984.42 and 5,891.87

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Solution

The fourth proportional to 14,659.94, 21,984.42 and 5,891.87 is: 8,835.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,659.94 : 21,984.42 = 5,891.87 : x
  2. Step 2: Convert to fraction form
    14,659.94/21,984.42 = 5,891.87/x
  3. Step 3: Cross multiply
    14,659.94x = 21,984.42 × 5,891.87
  4. Step 4: Simplify right side
    14,659.94x = 129,529,344.67
  5. Step 5: Solve for x
    x = 129,529,344.67/14,659.94
  6. Step 6: Final answer
    x = 8,835.60

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Why These Related Problems?

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