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Finding the Fourth Proportional to 12,283.77, 18,423.13 and 3,516.74

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Solution

The fourth proportional to 12,283.77, 18,423.13 and 3,516.74 is: 5,274.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,283.77 : 18,423.13 = 3,516.74 : x
  2. Step 2: Convert to fraction form
    12,283.77/18,423.13 = 3,516.74/x
  3. Step 3: Cross multiply
    12,283.77x = 18,423.13 × 3,516.74
  4. Step 4: Simplify right side
    12,283.77x = 64,789,358.20
  5. Step 5: Solve for x
    x = 64,789,358.20/12,283.77
  6. Step 6: Final answer
    x = 5,274.39

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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.