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Finding the Fourth Proportional to 14,201.97, 21,302.64 and 3,813.72

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Solution

The fourth proportional to 14,201.97, 21,302.64 and 3,813.72 is: 5,720.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,201.97 : 21,302.64 = 3,813.72 : x
  2. Step 2: Convert to fraction form
    14,201.97/21,302.64 = 3,813.72/x
  3. Step 3: Cross multiply
    14,201.97x = 21,302.64 × 3,813.72
  4. Step 4: Simplify right side
    14,201.97x = 81,242,304.22
  5. Step 5: Solve for x
    x = 81,242,304.22/14,201.97
  6. Step 6: Final answer
    x = 5,720.50

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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.