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Finding the Fourth Proportional to 14,425.02, 19,907.37 and 8,138.34

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Solution

The fourth proportional to 14,425.02, 19,907.37 and 8,138.34 is: 11,231.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,425.02 : 19,907.37 = 8,138.34 : x
  2. Step 2: Convert to fraction form
    14,425.02/19,907.37 = 8,138.34/x
  3. Step 3: Cross multiply
    14,425.02x = 19,907.37 × 8,138.34
  4. Step 4: Simplify right side
    14,425.02x = 162,012,945.57
  5. Step 5: Solve for x
    x = 162,012,945.57/14,425.02
  6. Step 6: Final answer
    x = 11,231.38

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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.