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Finding the Fourth Proportional to 14,090.75, 19,445.19 and 8,122.38

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Solution

The fourth proportional to 14,090.75, 19,445.19 and 8,122.38 is: 11,208.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,090.75 : 19,445.19 = 8,122.38 : x
  2. Step 2: Convert to fraction form
    14,090.75/19,445.19 = 8,122.38/x
  3. Step 3: Cross multiply
    14,090.75x = 19,445.19 × 8,122.38
  4. Step 4: Simplify right side
    14,090.75x = 157,941,222.35
  5. Step 5: Solve for x
    x = 157,941,222.35/14,090.75
  6. Step 6: Final answer
    x = 11,208.86

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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.