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Finding the Fourth Proportional to 26,783.78, 40,179.16 and 9,914.50

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Solution

The fourth proportional to 26,783.78, 40,179.16 and 9,914.50 is: 14,873.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,783.78 : 40,179.16 = 9,914.50 : x
  2. Step 2: Convert to fraction form
    26,783.78/40,179.16 = 9,914.50/x
  3. Step 3: Cross multiply
    26,783.78x = 40,179.16 × 9,914.50
  4. Step 4: Simplify right side
    26,783.78x = 398,356,281.82
  5. Step 5: Solve for x
    x = 398,356,281.82/26,783.78
  6. Step 6: Final answer
    x = 14,873.04

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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.