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Finding the Fourth Proportional to 14,619, 20,177.82 and 8,335.02

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Solution

The fourth proportional to 14,619, 20,177.82 and 8,335.02 is: 11,504.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,619 : 20,177.82 = 8,335.02 : x
  2. Step 2: Convert to fraction form
    14,619/20,177.82 = 8,335.02/x
  3. Step 3: Cross multiply
    14,619x = 20,177.82 × 8,335.02
  4. Step 4: Simplify right side
    14,619x = 168,182,533.26
  5. Step 5: Solve for x
    x = 168,182,533.26/14,619
  6. Step 6: Final answer
    x = 11,504.38

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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.