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Finding the Fourth Proportional to 26,205.82, 39,305.99 and 7,484.64

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Solution

The fourth proportional to 26,205.82, 39,305.99 and 7,484.64 is: 11,226.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,205.82 : 39,305.99 = 7,484.64 : x
  2. Step 2: Convert to fraction form
    26,205.82/39,305.99 = 7,484.64/x
  3. Step 3: Cross multiply
    26,205.82x = 39,305.99 × 7,484.64
  4. Step 4: Simplify right side
    26,205.82x = 294,191,184.99
  5. Step 5: Solve for x
    x = 294,191,184.99/26,205.82
  6. Step 6: Final answer
    x = 11,226.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.