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Finding the Fourth Proportional to 15,599.62, 23,405.46 and 6,835.78

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Solution

The fourth proportional to 15,599.62, 23,405.46 and 6,835.78 is: 10,256.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,599.62 : 23,405.46 = 6,835.78 : x
  2. Step 2: Convert to fraction form
    15,599.62/23,405.46 = 6,835.78/x
  3. Step 3: Cross multiply
    15,599.62x = 23,405.46 × 6,835.78
  4. Step 4: Simplify right side
    15,599.62x = 159,994,575.36
  5. Step 5: Solve for x
    x = 159,994,575.36/15,599.62
  6. Step 6: Final answer
    x = 10,256.31

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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.