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Finding the Fourth Proportional to 12,506.44, 18,853.35 and 11,660.84

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Solution

The fourth proportional to 12,506.44, 18,853.35 and 11,660.84 is: 17,578.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,506.44 : 18,853.35 = 11,660.84 : x
  2. Step 2: Convert to fraction form
    12,506.44/18,853.35 = 11,660.84/x
  3. Step 3: Cross multiply
    12,506.44x = 18,853.35 × 11,660.84
  4. Step 4: Simplify right side
    12,506.44x = 219,845,897.81
  5. Step 5: Solve for x
    x = 219,845,897.81/12,506.44
  6. Step 6: Final answer
    x = 17,578.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.