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Finding the Fourth Proportional to 14,651.33, 21,978 and 5,886.23

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Solution

The fourth proportional to 14,651.33, 21,978 and 5,886.23 is: 8,829.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,651.33 : 21,978 = 5,886.23 : x
  2. Step 2: Convert to fraction form
    14,651.33/21,978 = 5,886.23/x
  3. Step 3: Cross multiply
    14,651.33x = 21,978 × 5,886.23
  4. Step 4: Simplify right side
    14,651.33x = 129,367,453.05
  5. Step 5: Solve for x
    x = 129,367,453.05/14,651.33
  6. Step 6: Final answer
    x = 8,829.74

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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.