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Finding the Fourth Proportional to 13,948.36, 20,922.54 and 5,173

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Solution

The fourth proportional to 13,948.36, 20,922.54 and 5,173 is: 7,759.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,948.36 : 20,922.54 = 5,173 : x
  2. Step 2: Convert to fraction form
    13,948.36/20,922.54 = 5,173/x
  3. Step 3: Cross multiply
    13,948.36x = 20,922.54 × 5,173
  4. Step 4: Simplify right side
    13,948.36x = 108,232,299.42
  5. Step 5: Solve for x
    x = 108,232,299.42/13,948.36
  6. Step 6: Final answer
    x = 7,759.50

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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.