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Finding the Fourth Proportional to 26,906.79, 40,365.69 and 9,378

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Solution

The fourth proportional to 26,906.79, 40,365.69 and 9,378 is: 14,068.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,906.79 : 40,365.69 = 9,378 : x
  2. Step 2: Convert to fraction form
    26,906.79/40,365.69 = 9,378/x
  3. Step 3: Cross multiply
    26,906.79x = 40,365.69 × 9,378
  4. Step 4: Simplify right side
    26,906.79x = 378,549,440.82
  5. Step 5: Solve for x
    x = 378,549,440.82/26,906.79
  6. Step 6: Final answer
    x = 14,068.92

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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.