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Finding the Fourth Proportional to 21,676.64, 32,514.97 and 6,094.27

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Solution

The fourth proportional to 21,676.64, 32,514.97 and 6,094.27 is: 9,141.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,676.64 : 32,514.97 = 6,094.27 : x
  2. Step 2: Convert to fraction form
    21,676.64/32,514.97 = 6,094.27/x
  3. Step 3: Cross multiply
    21,676.64x = 32,514.97 × 6,094.27
  4. Step 4: Simplify right side
    21,676.64x = 198,154,860.16
  5. Step 5: Solve for x
    x = 198,154,860.16/21,676.64
  6. Step 6: Final answer
    x = 9,141.40

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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.