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Finding the Fourth Proportional to 23,782.30, 35,678.32 and 10,636

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Solution

The fourth proportional to 23,782.30, 35,678.32 and 10,636 is: 15,956.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,782.30 : 35,678.32 = 10,636 : x
  2. Step 2: Convert to fraction form
    23,782.30/35,678.32 = 10,636/x
  3. Step 3: Cross multiply
    23,782.30x = 35,678.32 × 10,636
  4. Step 4: Simplify right side
    23,782.30x = 379,474,611.52
  5. Step 5: Solve for x
    x = 379,474,611.52/23,782.30
  6. Step 6: Final answer
    x = 15,956.18

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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.