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Finding the Fourth Proportional to 12,328.50, 18,494.73 and 4,007.88

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Solution

The fourth proportional to 12,328.50, 18,494.73 and 4,007.88 is: 6,012.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,328.50 : 18,494.73 = 4,007.88 : x
  2. Step 2: Convert to fraction form
    12,328.50/18,494.73 = 4,007.88/x
  3. Step 3: Cross multiply
    12,328.50x = 18,494.73 × 4,007.88
  4. Step 4: Simplify right side
    12,328.50x = 74,124,658.47
  5. Step 5: Solve for x
    x = 74,124,658.47/12,328.50
  6. Step 6: Final answer
    x = 6,012.46

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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.