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Finding the Fourth Proportional to 23,709.51, 35,536.91 and 8,908.97

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Solution

The fourth proportional to 23,709.51, 35,536.91 and 8,908.97 is: 13,353.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,709.51 : 35,536.91 = 8,908.97 : x
  2. Step 2: Convert to fraction form
    23,709.51/35,536.91 = 8,908.97/x
  3. Step 3: Cross multiply
    23,709.51x = 35,536.91 × 8,908.97
  4. Step 4: Simplify right side
    23,709.51x = 316,597,042.85
  5. Step 5: Solve for x
    x = 316,597,042.85/23,709.51
  6. Step 6: Final answer
    x = 13,353.17

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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.