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Finding the Fourth Proportional to 17,788.94, 26,683.42 and 6,698.12

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Solution

The fourth proportional to 17,788.94, 26,683.42 and 6,698.12 is: 10,047.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,788.94 : 26,683.42 = 6,698.12 : x
  2. Step 2: Convert to fraction form
    17,788.94/26,683.42 = 6,698.12/x
  3. Step 3: Cross multiply
    17,788.94x = 26,683.42 × 6,698.12
  4. Step 4: Simplify right side
    17,788.94x = 178,728,749.17
  5. Step 5: Solve for x
    x = 178,728,749.17/17,788.94
  6. Step 6: Final answer
    x = 10,047.18

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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.