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Finding the Fourth Proportional to 14,143.22, 21,201.84 and 6,347.78

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Solution

The fourth proportional to 14,143.22, 21,201.84 and 6,347.78 is: 9,515.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,143.22 : 21,201.84 = 6,347.78 : x
  2. Step 2: Convert to fraction form
    14,143.22/21,201.84 = 6,347.78/x
  3. Step 3: Cross multiply
    14,143.22x = 21,201.84 × 6,347.78
  4. Step 4: Simplify right side
    14,143.22x = 134,584,615.92
  5. Step 5: Solve for x
    x = 134,584,615.92/14,143.22
  6. Step 6: Final answer
    x = 9,515.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.