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Finding the Fourth Proportional to 23,606.40, 35,401.17 and 7,808.52

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Solution

The fourth proportional to 23,606.40, 35,401.17 and 7,808.52 is: 11,709.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,606.40 : 35,401.17 = 7,808.52 : x
  2. Step 2: Convert to fraction form
    23,606.40/35,401.17 = 7,808.52/x
  3. Step 3: Cross multiply
    23,606.40x = 35,401.17 × 7,808.52
  4. Step 4: Simplify right side
    23,606.40x = 276,430,743.97
  5. Step 5: Solve for x
    x = 276,430,743.97/23,606.40
  6. Step 6: Final answer
    x = 11,709.99

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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.