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Finding the Fourth Proportional to 26,858.88, 40,288.32 and 9,319.20

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Solution

The fourth proportional to 26,858.88, 40,288.32 and 9,319.20 is: 13,978.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,858.88 : 40,288.32 = 9,319.20 : x
  2. Step 2: Convert to fraction form
    26,858.88/40,288.32 = 9,319.20/x
  3. Step 3: Cross multiply
    26,858.88x = 40,288.32 × 9,319.20
  4. Step 4: Simplify right side
    26,858.88x = 375,454,911.74
  5. Step 5: Solve for x
    x = 375,454,911.74/26,858.88
  6. Step 6: Final answer
    x = 13,978.80

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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.