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Finding the Fourth Proportional to 23,046.34, 34,575 and 7,463.97

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Solution

The fourth proportional to 23,046.34, 34,575 and 7,463.97 is: 11,197.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,046.34 : 34,575 = 7,463.97 : x
  2. Step 2: Convert to fraction form
    23,046.34/34,575 = 7,463.97/x
  3. Step 3: Cross multiply
    23,046.34x = 34,575 × 7,463.97
  4. Step 4: Simplify right side
    23,046.34x = 258,066,762.75
  5. Step 5: Solve for x
    x = 258,066,762.75/23,046.34
  6. Step 6: Final answer
    x = 11,197.73

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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.