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Finding the Fourth Proportional to 26,173, 39,267.06 and 7,705

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Solution

The fourth proportional to 26,173, 39,267.06 and 7,705 is: 11,559.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,173 : 39,267.06 = 7,705 : x
  2. Step 2: Convert to fraction form
    26,173/39,267.06 = 7,705/x
  3. Step 3: Cross multiply
    26,173x = 39,267.06 × 7,705
  4. Step 4: Simplify right side
    26,173x = 302,552,697.30
  5. Step 5: Solve for x
    x = 302,552,697.30/26,173
  6. Step 6: Final answer
    x = 11,559.73

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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.