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Finding the Fourth Proportional to 26,668.43, 40,003.25 and 9,138

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Solution

The fourth proportional to 26,668.43, 40,003.25 and 9,138 is: 13,707.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,668.43 : 40,003.25 = 9,138 : x
  2. Step 2: Convert to fraction form
    26,668.43/40,003.25 = 9,138/x
  3. Step 3: Cross multiply
    26,668.43x = 40,003.25 × 9,138
  4. Step 4: Simplify right side
    26,668.43x = 365,549,652.81
  5. Step 5: Solve for x
    x = 365,549,652.81/26,668.43
  6. Step 6: Final answer
    x = 13,707.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.