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Finding the Fourth Proportional to 26,417.44, 39,632.39 and 7,697.94

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Solution

The fourth proportional to 26,417.44, 39,632.39 and 7,697.94 is: 11,548.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,417.44 : 39,632.39 = 7,697.94 : x
  2. Step 2: Convert to fraction form
    26,417.44/39,632.39 = 7,697.94/x
  3. Step 3: Cross multiply
    26,417.44x = 39,632.39 × 7,697.94
  4. Step 4: Simplify right side
    26,417.44x = 305,087,602.03
  5. Step 5: Solve for x
    x = 305,087,602.03/26,417.44
  6. Step 6: Final answer
    x = 11,548.72

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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.