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Finding the Fourth Proportional to 20,783.55, 28,683 and 11,833.86

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Solution

The fourth proportional to 20,783.55, 28,683 and 11,833.86 is: 16,331.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,783.55 : 28,683 = 11,833.86 : x
  2. Step 2: Convert to fraction form
    20,783.55/28,683 = 11,833.86/x
  3. Step 3: Cross multiply
    20,783.55x = 28,683 × 11,833.86
  4. Step 4: Simplify right side
    20,783.55x = 339,430,606.38
  5. Step 5: Solve for x
    x = 339,430,606.38/20,783.55
  6. Step 6: Final answer
    x = 16,331.70

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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.