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Finding the Fourth Proportional to 17,941.50, 26,926.22 and 6,856.04

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Solution

The fourth proportional to 17,941.50, 26,926.22 and 6,856.04 is: 10,289.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,941.50 : 26,926.22 = 6,856.04 : x
  2. Step 2: Convert to fraction form
    17,941.50/26,926.22 = 6,856.04/x
  3. Step 3: Cross multiply
    17,941.50x = 26,926.22 × 6,856.04
  4. Step 4: Simplify right side
    17,941.50x = 184,607,325.82
  5. Step 5: Solve for x
    x = 184,607,325.82/17,941.50
  6. Step 6: Final answer
    x = 10,289.40

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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.