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Finding the Fourth Proportional to 23,599.91, 35,402.07 and 7,805

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Solution

The fourth proportional to 23,599.91, 35,402.07 and 7,805 is: 11,708.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,599.91 : 35,402.07 = 7,805 : x
  2. Step 2: Convert to fraction form
    23,599.91/35,402.07 = 7,805/x
  3. Step 3: Cross multiply
    23,599.91x = 35,402.07 × 7,805
  4. Step 4: Simplify right side
    23,599.91x = 276,313,156.35
  5. Step 5: Solve for x
    x = 276,313,156.35/23,599.91
  6. Step 6: Final answer
    x = 11,708.23

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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.