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Finding the Fourth Proportional to 26,807.58, 40,201.70 and 9,034.42

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Solution

The fourth proportional to 26,807.58, 40,201.70 and 9,034.42 is: 13,548.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,807.58 : 40,201.70 = 9,034.42 : x
  2. Step 2: Convert to fraction form
    26,807.58/40,201.70 = 9,034.42/x
  3. Step 3: Cross multiply
    26,807.58x = 40,201.70 × 9,034.42
  4. Step 4: Simplify right side
    26,807.58x = 363,199,042.51
  5. Step 5: Solve for x
    x = 363,199,042.51/26,807.58
  6. Step 6: Final answer
    x = 13,548.37

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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.