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Finding the Fourth Proportional to 23,526.78, 35,295.06 and 7,944

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Solution

The fourth proportional to 23,526.78, 35,295.06 and 7,944 is: 11,917.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,526.78 : 35,295.06 = 7,944 : x
  2. Step 2: Convert to fraction form
    23,526.78/35,295.06 = 7,944/x
  3. Step 3: Cross multiply
    23,526.78x = 35,295.06 × 7,944
  4. Step 4: Simplify right side
    23,526.78x = 280,383,956.64
  5. Step 5: Solve for x
    x = 280,383,956.64/23,526.78
  6. Step 6: Final answer
    x = 11,917.65

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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.