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Finding the Fourth Proportional to 14,265.24, 21,404.01 and 5,506.31

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Solution

The fourth proportional to 14,265.24, 21,404.01 and 5,506.31 is: 8,261.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,265.24 : 21,404.01 = 5,506.31 : x
  2. Step 2: Convert to fraction form
    14,265.24/21,404.01 = 5,506.31/x
  3. Step 3: Cross multiply
    14,265.24x = 21,404.01 × 5,506.31
  4. Step 4: Simplify right side
    14,265.24x = 117,857,007.28
  5. Step 5: Solve for x
    x = 117,857,007.28/14,265.24
  6. Step 6: Final answer
    x = 8,261.83

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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.