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Finding the Fourth Proportional to 12,199.52, 18,301.53 and 3,881.63

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Solution

The fourth proportional to 12,199.52, 18,301.53 and 3,881.63 is: 5,823.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199.52 : 18,301.53 = 3,881.63 : x
  2. Step 2: Convert to fraction form
    12,199.52/18,301.53 = 3,881.63/x
  3. Step 3: Cross multiply
    12,199.52x = 18,301.53 × 3,881.63
  4. Step 4: Simplify right side
    12,199.52x = 71,039,676.39
  5. Step 5: Solve for x
    x = 71,039,676.39/12,199.52
  6. Step 6: Final answer
    x = 5,823.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.