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Finding the Fourth Proportional to 15,059.81, 20,783.96 and 9,096.39

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Solution

The fourth proportional to 15,059.81, 20,783.96 and 9,096.39 is: 12,553.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,059.81 : 20,783.96 = 9,096.39 : x
  2. Step 2: Convert to fraction form
    15,059.81/20,783.96 = 9,096.39/x
  3. Step 3: Cross multiply
    15,059.81x = 20,783.96 × 9,096.39
  4. Step 4: Simplify right side
    15,059.81x = 189,059,005.90
  5. Step 5: Solve for x
    x = 189,059,005.90/15,059.81
  6. Step 6: Final answer
    x = 12,553.88

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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.