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Finding the Fourth Proportional to 12,280, 18,423.40 and 4,889.64

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Solution

The fourth proportional to 12,280, 18,423.40 and 4,889.64 is: 7,335.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,280 : 18,423.40 = 4,889.64 : x
  2. Step 2: Convert to fraction form
    12,280/18,423.40 = 4,889.64/x
  3. Step 3: Cross multiply
    12,280x = 18,423.40 × 4,889.64
  4. Step 4: Simplify right side
    12,280x = 90,083,793.58
  5. Step 5: Solve for x
    x = 90,083,793.58/12,280
  6. Step 6: Final answer
    x = 7,335.81

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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.