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Finding the Fourth Proportional to 13,172.63, 18,178.50 and 7,204.68

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Solution

The fourth proportional to 13,172.63, 18,178.50 and 7,204.68 is: 9,942.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,172.63 : 18,178.50 = 7,204.68 : x
  2. Step 2: Convert to fraction form
    13,172.63/18,178.50 = 7,204.68/x
  3. Step 3: Cross multiply
    13,172.63x = 18,178.50 × 7,204.68
  4. Step 4: Simplify right side
    13,172.63x = 130,970,275.38
  5. Step 5: Solve for x
    x = 130,970,275.38/13,172.63
  6. Step 6: Final answer
    x = 9,942.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.