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Finding the Fourth Proportional to 13,795.30, 20,693.04 and 9,401.86

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Solution

The fourth proportional to 13,795.30, 20,693.04 and 9,401.86 is: 14,102.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,795.30 : 20,693.04 = 9,401.86 : x
  2. Step 2: Convert to fraction form
    13,795.30/20,693.04 = 9,401.86/x
  3. Step 3: Cross multiply
    13,795.30x = 20,693.04 × 9,401.86
  4. Step 4: Simplify right side
    13,795.30x = 194,553,065.05
  5. Step 5: Solve for x
    x = 194,553,065.05/13,795.30
  6. Step 6: Final answer
    x = 14,102.85

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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.