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Finding the Fourth Proportional to 19,066, 26,311.08 and 11,614

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Solution

The fourth proportional to 19,066, 26,311.08 and 11,614 is: 16,027.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,066 : 26,311.08 = 11,614 : x
  2. Step 2: Convert to fraction form
    19,066/26,311.08 = 11,614/x
  3. Step 3: Cross multiply
    19,066x = 26,311.08 × 11,614
  4. Step 4: Simplify right side
    19,066x = 305,576,883.12
  5. Step 5: Solve for x
    x = 305,576,883.12/19,066
  6. Step 6: Final answer
    x = 16,027.32

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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.