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Finding the Fourth Proportional to 14,378.54, 21,553.20 and 10,908.50

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Solution

The fourth proportional to 14,378.54, 21,553.20 and 10,908.50 is: 16,351.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,378.54 : 21,553.20 = 10,908.50 : x
  2. Step 2: Convert to fraction form
    14,378.54/21,553.20 = 10,908.50/x
  3. Step 3: Cross multiply
    14,378.54x = 21,553.20 × 10,908.50
  4. Step 4: Simplify right side
    14,378.54x = 235,113,082.20
  5. Step 5: Solve for x
    x = 235,113,082.20/14,378.54
  6. Step 6: Final answer
    x = 16,351.67

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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.