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Finding the Fourth Proportional to 24,262.23, 36,393 and 7,623.26

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Solution

The fourth proportional to 24,262.23, 36,393 and 7,623.26 is: 11,434.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,262.23 : 36,393 = 7,623.26 : x
  2. Step 2: Convert to fraction form
    24,262.23/36,393 = 7,623.26/x
  3. Step 3: Cross multiply
    24,262.23x = 36,393 × 7,623.26
  4. Step 4: Simplify right side
    24,262.23x = 277,433,301.18
  5. Step 5: Solve for x
    x = 277,433,301.18/24,262.23
  6. Step 6: Final answer
    x = 11,434.78

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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.