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Finding the Fourth Proportional to 26,358.38, 39,539.59 and 7,638.67

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Solution

The fourth proportional to 26,358.38, 39,539.59 and 7,638.67 is: 11,458.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,358.38 : 39,539.59 = 7,638.67 : x
  2. Step 2: Convert to fraction form
    26,358.38/39,539.59 = 7,638.67/x
  3. Step 3: Cross multiply
    26,358.38x = 39,539.59 × 7,638.67
  4. Step 4: Simplify right side
    26,358.38x = 302,029,644.05
  5. Step 5: Solve for x
    x = 302,029,644.05/26,358.38
  6. Step 6: Final answer
    x = 11,458.58

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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.