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Finding the Fourth Proportional to 17,972.69, 26,971.74 and 6,286.01

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Solution

The fourth proportional to 17,972.69, 26,971.74 and 6,286.01 is: 9,433.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,972.69 : 26,971.74 = 6,286.01 : x
  2. Step 2: Convert to fraction form
    17,972.69/26,971.74 = 6,286.01/x
  3. Step 3: Cross multiply
    17,972.69x = 26,971.74 × 6,286.01
  4. Step 4: Simplify right side
    17,972.69x = 169,544,492.50
  5. Step 5: Solve for x
    x = 169,544,492.50/17,972.69
  6. Step 6: Final answer
    x = 9,433.45

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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.