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Finding the Fourth Proportional to 14,094, 21,119.04 and 5,324.13

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Solution

The fourth proportional to 14,094, 21,119.04 and 5,324.13 is: 7,977.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,094 : 21,119.04 = 5,324.13 : x
  2. Step 2: Convert to fraction form
    14,094/21,119.04 = 5,324.13/x
  3. Step 3: Cross multiply
    14,094x = 21,119.04 × 5,324.13
  4. Step 4: Simplify right side
    14,094x = 112,440,514.44
  5. Step 5: Solve for x
    x = 112,440,514.44/14,094
  6. Step 6: Final answer
    x = 7,977.90

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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.