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Finding the Fourth Proportional to 26,455.76, 39,676.96 and 9,806.64

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Solution

The fourth proportional to 26,455.76, 39,676.96 and 9,806.64 is: 14,707.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,455.76 : 39,676.96 = 9,806.64 : x
  2. Step 2: Convert to fraction form
    26,455.76/39,676.96 = 9,806.64/x
  3. Step 3: Cross multiply
    26,455.76x = 39,676.96 × 9,806.64
  4. Step 4: Simplify right side
    26,455.76x = 389,097,663.01
  5. Step 5: Solve for x
    x = 389,097,663.01/26,455.76
  6. Step 6: Final answer
    x = 14,707.48

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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.