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Finding the Fourth Proportional to 17,014.42, 25,514.43 and 6,482.80

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Solution

The fourth proportional to 17,014.42, 25,514.43 and 6,482.80 is: 9,721.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,014.42 : 25,514.43 = 6,482.80 : x
  2. Step 2: Convert to fraction form
    17,014.42/25,514.43 = 6,482.80/x
  3. Step 3: Cross multiply
    17,014.42x = 25,514.43 × 6,482.80
  4. Step 4: Simplify right side
    17,014.42x = 165,404,946.80
  5. Step 5: Solve for x
    x = 165,404,946.80/17,014.42
  6. Step 6: Final answer
    x = 9,721.46

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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.