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Finding the Fourth Proportional to 21,676.98, 32,521.14 and 9,197.58

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Solution

The fourth proportional to 21,676.98, 32,521.14 and 9,197.58 is: 13,798.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,676.98 : 32,521.14 = 9,197.58 : x
  2. Step 2: Convert to fraction form
    21,676.98/32,521.14 = 9,197.58/x
  3. Step 3: Cross multiply
    21,676.98x = 32,521.14 × 9,197.58
  4. Step 4: Simplify right side
    21,676.98x = 299,115,786.84
  5. Step 5: Solve for x
    x = 299,115,786.84/21,676.98
  6. Step 6: Final answer
    x = 13,798.78

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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.