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Finding the Fourth Proportional to 26,415.24, 39,616.50 and 7,690.20

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Solution

The fourth proportional to 26,415.24, 39,616.50 and 7,690.20 is: 11,533.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,415.24 : 39,616.50 = 7,690.20 : x
  2. Step 2: Convert to fraction form
    26,415.24/39,616.50 = 7,690.20/x
  3. Step 3: Cross multiply
    26,415.24x = 39,616.50 × 7,690.20
  4. Step 4: Simplify right side
    26,415.24x = 304,658,808.30
  5. Step 5: Solve for x
    x = 304,658,808.30/26,415.24
  6. Step 6: Final answer
    x = 11,533.45

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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.