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Finding the Fourth Proportional to 15,059.31, 20,783.30 and 8,346.39

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Solution

The fourth proportional to 15,059.31, 20,783.30 and 8,346.39 is: 11,518.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,059.31 : 20,783.30 = 8,346.39 : x
  2. Step 2: Convert to fraction form
    15,059.31/20,783.30 = 8,346.39/x
  3. Step 3: Cross multiply
    15,059.31x = 20,783.30 × 8,346.39
  4. Step 4: Simplify right side
    15,059.31x = 173,465,485.56
  5. Step 5: Solve for x
    x = 173,465,485.56/15,059.31
  6. Step 6: Final answer
    x = 11,518.82

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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.