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Finding the Fourth Proportional to 26,365.70, 39,542.36 and 7,640.76

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Solution

The fourth proportional to 26,365.70, 39,542.36 and 7,640.76 is: 11,459.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,365.70 : 39,542.36 = 7,640.76 : x
  2. Step 2: Convert to fraction form
    26,365.70/39,542.36 = 7,640.76/x
  3. Step 3: Cross multiply
    26,365.70x = 39,542.36 × 7,640.76
  4. Step 4: Simplify right side
    26,365.70x = 302,133,682.59
  5. Step 5: Solve for x
    x = 302,133,682.59/26,365.70
  6. Step 6: Final answer
    x = 11,459.35

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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.