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Finding the Fourth Proportional to 12,393.27, 18,595.71 and 5,818.50

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Solution

The fourth proportional to 12,393.27, 18,595.71 and 5,818.50 is: 8,730.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,393.27 : 18,595.71 = 5,818.50 : x
  2. Step 2: Convert to fraction form
    12,393.27/18,595.71 = 5,818.50/x
  3. Step 3: Cross multiply
    12,393.27x = 18,595.71 × 5,818.50
  4. Step 4: Simplify right side
    12,393.27x = 108,199,138.64
  5. Step 5: Solve for x
    x = 108,199,138.64/12,393.27
  6. Step 6: Final answer
    x = 8,730.48

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Why These Related Problems?

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