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Finding the Fourth Proportional to 30,843.88, 42,564.86 and 16,697

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Solution

The fourth proportional to 30,843.88, 42,564.86 and 16,697 is: 23,042.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,843.88 : 42,564.86 = 16,697 : x
  2. Step 2: Convert to fraction form
    30,843.88/42,564.86 = 16,697/x
  3. Step 3: Cross multiply
    30,843.88x = 42,564.86 × 16,697
  4. Step 4: Simplify right side
    30,843.88x = 710,705,467.42
  5. Step 5: Solve for x
    x = 710,705,467.42/30,843.88
  6. Step 6: Final answer
    x = 23,042.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.