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Finding the Fourth Proportional to 23,356.66, 35,034.69 and 5,826.64

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Solution

The fourth proportional to 23,356.66, 35,034.69 and 5,826.64 is: 8,739.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,356.66 : 35,034.69 = 5,826.64 : x
  2. Step 2: Convert to fraction form
    23,356.66/35,034.69 = 5,826.64/x
  3. Step 3: Cross multiply
    23,356.66x = 35,034.69 × 5,826.64
  4. Step 4: Simplify right side
    23,356.66x = 204,134,526.14
  5. Step 5: Solve for x
    x = 204,134,526.14/23,356.66
  6. Step 6: Final answer
    x = 8,739.89

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Why These Related Problems?

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