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Finding the Fourth Proportional to 14,823.35, 20,455.46 and 8,107.67

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Solution

The fourth proportional to 14,823.35, 20,455.46 and 8,107.67 is: 11,188.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,823.35 : 20,455.46 = 8,107.67 : x
  2. Step 2: Convert to fraction form
    14,823.35/20,455.46 = 8,107.67/x
  3. Step 3: Cross multiply
    14,823.35x = 20,455.46 × 8,107.67
  4. Step 4: Simplify right side
    14,823.35x = 165,846,119.38
  5. Step 5: Solve for x
    x = 165,846,119.38/14,823.35
  6. Step 6: Final answer
    x = 11,188.17

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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.