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Finding the Fourth Proportional to 17,970.84, 26,956.26 and 4,824.54

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Solution

The fourth proportional to 17,970.84, 26,956.26 and 4,824.54 is: 7,236.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,970.84 : 26,956.26 = 4,824.54 : x
  2. Step 2: Convert to fraction form
    17,970.84/26,956.26 = 4,824.54/x
  3. Step 3: Cross multiply
    17,970.84x = 26,956.26 × 4,824.54
  4. Step 4: Simplify right side
    17,970.84x = 130,051,554.62
  5. Step 5: Solve for x
    x = 130,051,554.62/17,970.84
  6. Step 6: Final answer
    x = 7,236.81

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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.