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Finding the Fourth Proportional to 14,734, 20,333.35 and 8,020.06

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Solution

The fourth proportional to 14,734, 20,333.35 and 8,020.06 is: 11,067.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,734 : 20,333.35 = 8,020.06 : x
  2. Step 2: Convert to fraction form
    14,734/20,333.35 = 8,020.06/x
  3. Step 3: Cross multiply
    14,734x = 20,333.35 × 8,020.06
  4. Step 4: Simplify right side
    14,734x = 163,074,687.00
  5. Step 5: Solve for x
    x = 163,074,687.00/14,734
  6. Step 6: Final answer
    x = 11,067.92

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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.