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Finding the Fourth Proportional to 26,555.69, 39,824.26 and 7,830.76

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Solution

The fourth proportional to 26,555.69, 39,824.26 and 7,830.76 is: 11,743.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,555.69 : 39,824.26 = 7,830.76 : x
  2. Step 2: Convert to fraction form
    26,555.69/39,824.26 = 7,830.76/x
  3. Step 3: Cross multiply
    26,555.69x = 39,824.26 × 7,830.76
  4. Step 4: Simplify right side
    26,555.69x = 311,854,103.10
  5. Step 5: Solve for x
    x = 311,854,103.10/26,555.69
  6. Step 6: Final answer
    x = 11,743.40

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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.