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Finding the Fourth Proportional to 15,773.72, 23,654.22 and 4,676.72

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Solution

The fourth proportional to 15,773.72, 23,654.22 and 4,676.72 is: 7,013.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,773.72 : 23,654.22 = 4,676.72 : x
  2. Step 2: Convert to fraction form
    15,773.72/23,654.22 = 4,676.72/x
  3. Step 3: Cross multiply
    15,773.72x = 23,654.22 × 4,676.72
  4. Step 4: Simplify right side
    15,773.72x = 110,624,163.76
  5. Step 5: Solve for x
    x = 110,624,163.76/15,773.72
  6. Step 6: Final answer
    x = 7,013.19

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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.