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Finding the Fourth Proportional to 26,555.97, 39,835.28 and 7,583.42

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Solution

The fourth proportional to 26,555.97, 39,835.28 and 7,583.42 is: 11,375.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,555.97 : 39,835.28 = 7,583.42 : x
  2. Step 2: Convert to fraction form
    26,555.97/39,835.28 = 7,583.42/x
  3. Step 3: Cross multiply
    26,555.97x = 39,835.28 × 7,583.42
  4. Step 4: Simplify right side
    26,555.97x = 302,087,421.96
  5. Step 5: Solve for x
    x = 302,087,421.96/26,555.97
  6. Step 6: Final answer
    x = 11,375.50

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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.