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Finding the Fourth Proportional to 23,822.25, 35,733.38 and 9,971.25

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Solution

The fourth proportional to 23,822.25, 35,733.38 and 9,971.25 is: 14,956.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,822.25 : 35,733.38 = 9,971.25 : x
  2. Step 2: Convert to fraction form
    23,822.25/35,733.38 = 9,971.25/x
  3. Step 3: Cross multiply
    23,822.25x = 35,733.38 × 9,971.25
  4. Step 4: Simplify right side
    23,822.25x = 356,306,415.47
  5. Step 5: Solve for x
    x = 356,306,415.47/23,822.25
  6. Step 6: Final answer
    x = 14,956.88

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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.