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Finding the Fourth Proportional to 14,511.25, 20,025.93 and 8,224.03

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Solution

The fourth proportional to 14,511.25, 20,025.93 and 8,224.03 is: 11,349.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,511.25 : 20,025.93 = 8,224.03 : x
  2. Step 2: Convert to fraction form
    14,511.25/20,025.93 = 8,224.03/x
  3. Step 3: Cross multiply
    14,511.25x = 20,025.93 × 8,224.03
  4. Step 4: Simplify right side
    14,511.25x = 164,693,849.10
  5. Step 5: Solve for x
    x = 164,693,849.10/14,511.25
  6. Step 6: Final answer
    x = 11,349.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.