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Finding the Fourth Proportional to 21,676.74, 32,514.80 and 6,885.42

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Solution

The fourth proportional to 21,676.74, 32,514.80 and 6,885.42 is: 10,328.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,676.74 : 32,514.80 = 6,885.42 : x
  2. Step 2: Convert to fraction form
    21,676.74/32,514.80 = 6,885.42/x
  3. Step 3: Cross multiply
    21,676.74x = 32,514.80 × 6,885.42
  4. Step 4: Simplify right side
    21,676.74x = 223,878,019.79
  5. Step 5: Solve for x
    x = 223,878,019.79/21,676.74
  6. Step 6: Final answer
    x = 10,328.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.