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Finding the Fourth Proportional to 15,057.83, 20,789.56 and 9,682.69

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Solution

The fourth proportional to 15,057.83, 20,789.56 and 9,682.69 is: 13,368.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,057.83 : 20,789.56 = 9,682.69 : x
  2. Step 2: Convert to fraction form
    15,057.83/20,789.56 = 9,682.69/x
  3. Step 3: Cross multiply
    15,057.83x = 20,789.56 × 9,682.69
  4. Step 4: Simplify right side
    15,057.83x = 201,298,864.72
  5. Step 5: Solve for x
    x = 201,298,864.72/15,057.83
  6. Step 6: Final answer
    x = 13,368.38

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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.