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Finding the Fourth Proportional to 25,245.16, 34,838.56 and 13,914.67

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Solution

The fourth proportional to 25,245.16, 34,838.56 and 13,914.67 is: 19,202.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,245.16 : 34,838.56 = 13,914.67 : x
  2. Step 2: Convert to fraction form
    25,245.16/34,838.56 = 13,914.67/x
  3. Step 3: Cross multiply
    25,245.16x = 34,838.56 × 13,914.67
  4. Step 4: Simplify right side
    25,245.16x = 484,767,065.68
  5. Step 5: Solve for x
    x = 484,767,065.68/25,245.16
  6. Step 6: Final answer
    x = 19,202.38

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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.