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Finding the Fourth Proportional to 26,200, 36,155.94 and 14,263.42

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Solution

The fourth proportional to 26,200, 36,155.94 and 14,263.42 is: 19,683.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,200 : 36,155.94 = 14,263.42 : x
  2. Step 2: Convert to fraction form
    26,200/36,155.94 = 14,263.42/x
  3. Step 3: Cross multiply
    26,200x = 36,155.94 × 14,263.42
  4. Step 4: Simplify right side
    26,200x = 515,707,357.71
  5. Step 5: Solve for x
    x = 515,707,357.71/26,200
  6. Step 6: Final answer
    x = 19,683.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.