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Finding the Fourth Proportional to 13,083.58, 18,052.18 and 8,301.78

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Solution

The fourth proportional to 13,083.58, 18,052.18 and 8,301.78 is: 11,454.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,083.58 : 18,052.18 = 8,301.78 : x
  2. Step 2: Convert to fraction form
    13,083.58/18,052.18 = 8,301.78/x
  3. Step 3: Cross multiply
    13,083.58x = 18,052.18 × 8,301.78
  4. Step 4: Simplify right side
    13,083.58x = 149,865,226.88
  5. Step 5: Solve for x
    x = 149,865,226.88/13,083.58
  6. Step 6: Final answer
    x = 11,454.45

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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.