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Finding the Fourth Proportional to 14,424.60, 21,624.60 and 5,657.46

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Solution

The fourth proportional to 14,424.60, 21,624.60 and 5,657.46 is: 8,481.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,424.60 : 21,624.60 = 5,657.46 : x
  2. Step 2: Convert to fraction form
    14,424.60/21,624.60 = 5,657.46/x
  3. Step 3: Cross multiply
    14,424.60x = 21,624.60 × 5,657.46
  4. Step 4: Simplify right side
    14,424.60x = 122,340,309.52
  5. Step 5: Solve for x
    x = 122,340,309.52/14,424.60
  6. Step 6: Final answer
    x = 8,481.37

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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.