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Finding the Fourth Proportional to 12,324, 18,465.48 and 8,158.44

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Solution

The fourth proportional to 12,324, 18,465.48 and 8,158.44 is: 12,224.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,324 : 18,465.48 = 8,158.44 : x
  2. Step 2: Convert to fraction form
    12,324/18,465.48 = 8,158.44/x
  3. Step 3: Cross multiply
    12,324x = 18,465.48 × 8,158.44
  4. Step 4: Simplify right side
    12,324x = 150,649,510.65
  5. Step 5: Solve for x
    x = 150,649,510.65/12,324
  6. Step 6: Final answer
    x = 12,224.08

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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.