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Finding the Fourth Proportional to 14,543.22, 21,796.52 and 7,879.46

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Solution

The fourth proportional to 14,543.22, 21,796.52 and 7,879.46 is: 11,809.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,543.22 : 21,796.52 = 7,879.46 : x
  2. Step 2: Convert to fraction form
    14,543.22/21,796.52 = 7,879.46/x
  3. Step 3: Cross multiply
    14,543.22x = 21,796.52 × 7,879.46
  4. Step 4: Simplify right side
    14,543.22x = 171,744,807.48
  5. Step 5: Solve for x
    x = 171,744,807.48/14,543.22
  6. Step 6: Final answer
    x = 11,809.27

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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.