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Finding the Fourth Proportional to 20,775.56, 31,145.99 and 9,676.53

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Solution

The fourth proportional to 20,775.56, 31,145.99 and 9,676.53 is: 14,506.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,775.56 : 31,145.99 = 9,676.53 : x
  2. Step 2: Convert to fraction form
    20,775.56/31,145.99 = 9,676.53/x
  3. Step 3: Cross multiply
    20,775.56x = 31,145.99 × 9,676.53
  4. Step 4: Simplify right side
    20,775.56x = 301,385,058.23
  5. Step 5: Solve for x
    x = 301,385,058.23/20,775.56
  6. Step 6: Final answer
    x = 14,506.72

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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.