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Finding the Fourth Proportional to 23,164.92, 31,955.82 and 14,652.70

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Solution

The fourth proportional to 23,164.92, 31,955.82 and 14,652.70 is: 20,213.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,164.92 : 31,955.82 = 14,652.70 : x
  2. Step 2: Convert to fraction form
    23,164.92/31,955.82 = 14,652.70/x
  3. Step 3: Cross multiply
    23,164.92x = 31,955.82 × 14,652.70
  4. Step 4: Simplify right side
    23,164.92x = 468,238,908.88
  5. Step 5: Solve for x
    x = 468,238,908.88/23,164.92
  6. Step 6: Final answer
    x = 20,213.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.