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Finding the Fourth Proportional to 26,473.76, 39,702 and 11,682.08

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Solution

The fourth proportional to 26,473.76, 39,702 and 11,682.08 is: 17,519.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,473.76 : 39,702 = 11,682.08 : x
  2. Step 2: Convert to fraction form
    26,473.76/39,702 = 11,682.08/x
  3. Step 3: Cross multiply
    26,473.76x = 39,702 × 11,682.08
  4. Step 4: Simplify right side
    26,473.76x = 463,801,940.16
  5. Step 5: Solve for x
    x = 463,801,940.16/26,473.76
  6. Step 6: Final answer
    x = 17,519.31

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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.