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Finding the Fourth Proportional to 13,865.10, 20,793.54 and 4,004.46

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Solution

The fourth proportional to 13,865.10, 20,793.54 and 4,004.46 is: 6,005.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,865.10 : 20,793.54 = 4,004.46 : x
  2. Step 2: Convert to fraction form
    13,865.10/20,793.54 = 4,004.46/x
  3. Step 3: Cross multiply
    13,865.10x = 20,793.54 × 4,004.46
  4. Step 4: Simplify right side
    13,865.10x = 83,266,899.19
  5. Step 5: Solve for x
    x = 83,266,899.19/13,865.10
  6. Step 6: Final answer
    x = 6,005.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.