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Finding the Fourth Proportional to 12,172.40, 18,280.20 and 8,889.20

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Solution

The fourth proportional to 12,172.40, 18,280.20 and 8,889.20 is: 13,349.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,172.40 : 18,280.20 = 8,889.20 : x
  2. Step 2: Convert to fraction form
    12,172.40/18,280.20 = 8,889.20/x
  3. Step 3: Cross multiply
    12,172.40x = 18,280.20 × 8,889.20
  4. Step 4: Simplify right side
    12,172.40x = 162,496,353.84
  5. Step 5: Solve for x
    x = 162,496,353.84/12,172.40
  6. Step 6: Final answer
    x = 13,349.57

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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.