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Finding the Fourth Proportional to 23,185.92, 31,994.64 and 13,752.84

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Solution

The fourth proportional to 23,185.92, 31,994.64 and 13,752.84 is: 18,977.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,185.92 : 31,994.64 = 13,752.84 : x
  2. Step 2: Convert to fraction form
    23,185.92/31,994.64 = 13,752.84/x
  3. Step 3: Cross multiply
    23,185.92x = 31,994.64 × 13,752.84
  4. Step 4: Simplify right side
    23,185.92x = 440,017,164.78
  5. Step 5: Solve for x
    x = 440,017,164.78/23,185.92
  6. Step 6: Final answer
    x = 18,977.77

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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.