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Finding the Fourth Proportional to 14,094, 21,143.13 and 4,233.06

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Solution

The fourth proportional to 14,094, 21,143.13 and 4,233.06 is: 6,350.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,094 : 21,143.13 = 4,233.06 : x
  2. Step 2: Convert to fraction form
    14,094/21,143.13 = 4,233.06/x
  3. Step 3: Cross multiply
    14,094x = 21,143.13 × 4,233.06
  4. Step 4: Simplify right side
    14,094x = 89,500,122.00
  5. Step 5: Solve for x
    x = 89,500,122.00/14,094
  6. Step 6: Final answer
    x = 6,350.23

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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.