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Finding the Fourth Proportional to 14,289.35, 19,838.09 and 13,861.67

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Solution

The fourth proportional to 14,289.35, 19,838.09 and 13,861.67 is: 19,244.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,289.35 : 19,838.09 = 13,861.67 : x
  2. Step 2: Convert to fraction form
    14,289.35/19,838.09 = 13,861.67/x
  3. Step 3: Cross multiply
    14,289.35x = 19,838.09 × 13,861.67
  4. Step 4: Simplify right side
    14,289.35x = 274,989,141.26
  5. Step 5: Solve for x
    x = 274,989,141.26/14,289.35
  6. Step 6: Final answer
    x = 19,244.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.