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Finding the Fourth Proportional to 23,184.63, 31,994.80 and 13,113.09

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Solution

The fourth proportional to 23,184.63, 31,994.80 and 13,113.09 is: 18,096.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,184.63 : 31,994.80 = 13,113.09 : x
  2. Step 2: Convert to fraction form
    23,184.63/31,994.80 = 13,113.09/x
  3. Step 3: Cross multiply
    23,184.63x = 31,994.80 × 13,113.09
  4. Step 4: Simplify right side
    23,184.63x = 419,550,659.15
  5. Step 5: Solve for x
    x = 419,550,659.15/23,184.63
  6. Step 6: Final answer
    x = 18,096.07

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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.