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Finding the Fourth Proportional to 23,175.72, 34,742.93 and 8,381.34

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Solution

The fourth proportional to 23,175.72, 34,742.93 and 8,381.34 is: 12,564.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,175.72 : 34,742.93 = 8,381.34 : x
  2. Step 2: Convert to fraction form
    23,175.72/34,742.93 = 8,381.34/x
  3. Step 3: Cross multiply
    23,175.72x = 34,742.93 × 8,381.34
  4. Step 4: Simplify right side
    23,175.72x = 291,192,267.02
  5. Step 5: Solve for x
    x = 291,192,267.02/23,175.72
  6. Step 6: Final answer
    x = 12,564.54

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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.