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Finding the Fourth Proportional to 23,960.91, 35,924.35 and 9,157.35

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Solution

The fourth proportional to 23,960.91, 35,924.35 and 9,157.35 is: 13,729.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,960.91 : 35,924.35 = 9,157.35 : x
  2. Step 2: Convert to fraction form
    23,960.91/35,924.35 = 9,157.35/x
  3. Step 3: Cross multiply
    23,960.91x = 35,924.35 × 9,157.35
  4. Step 4: Simplify right side
    23,960.91x = 328,971,846.47
  5. Step 5: Solve for x
    x = 328,971,846.47/23,960.91
  6. Step 6: Final answer
    x = 13,729.52

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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.