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Finding the Fourth Proportional to 16,682.90, 23,027.58 and 9,614.06

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Solution

The fourth proportional to 16,682.90, 23,027.58 and 9,614.06 is: 13,270.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,682.90 : 23,027.58 = 9,614.06 : x
  2. Step 2: Convert to fraction form
    16,682.90/23,027.58 = 9,614.06/x
  3. Step 3: Cross multiply
    16,682.90x = 23,027.58 × 9,614.06
  4. Step 4: Simplify right side
    16,682.90x = 221,388,535.77
  5. Step 5: Solve for x
    x = 221,388,535.77/16,682.90
  6. Step 6: Final answer
    x = 13,270.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.