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Finding the Fourth Proportional to 16,708, 25,042.56 and 6,835.32

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Solution

The fourth proportional to 16,708, 25,042.56 and 6,835.32 is: 10,245.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,708 : 25,042.56 = 6,835.32 : x
  2. Step 2: Convert to fraction form
    16,708/25,042.56 = 6,835.32/x
  3. Step 3: Cross multiply
    16,708x = 25,042.56 × 6,835.32
  4. Step 4: Simplify right side
    16,708x = 171,173,911.22
  5. Step 5: Solve for x
    x = 171,173,911.22/16,708
  6. Step 6: Final answer
    x = 10,245.03

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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.