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Finding the Fourth Proportional to 26,197.44, 39,301.92 and 7,730.88

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Solution

The fourth proportional to 26,197.44, 39,301.92 and 7,730.88 is: 11,598.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,197.44 : 39,301.92 = 7,730.88 : x
  2. Step 2: Convert to fraction form
    26,197.44/39,301.92 = 7,730.88/x
  3. Step 3: Cross multiply
    26,197.44x = 39,301.92 × 7,730.88
  4. Step 4: Simplify right side
    26,197.44x = 303,838,427.29
  5. Step 5: Solve for x
    x = 303,838,427.29/26,197.44
  6. Step 6: Final answer
    x = 11,598.02

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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.