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Finding the Fourth Proportional to 13,172.55, 18,178.38 and 7,204.20

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Solution

The fourth proportional to 13,172.55, 18,178.38 and 7,204.20 is: 9,941.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,172.55 : 18,178.38 = 7,204.20 : x
  2. Step 2: Convert to fraction form
    13,172.55/18,178.38 = 7,204.20/x
  3. Step 3: Cross multiply
    13,172.55x = 18,178.38 × 7,204.20
  4. Step 4: Simplify right side
    13,172.55x = 130,960,685.20
  5. Step 5: Solve for x
    x = 130,960,685.20/13,172.55
  6. Step 6: Final answer
    x = 9,941.94

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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.