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Finding the Fourth Proportional to 13,172.31, 18,177.62 and 7,203.83

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Solution

The fourth proportional to 13,172.31, 18,177.62 and 7,203.83 is: 9,941.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,172.31 : 18,177.62 = 7,203.83 : x
  2. Step 2: Convert to fraction form
    13,172.31/18,177.62 = 7,203.83/x
  3. Step 3: Cross multiply
    13,172.31x = 18,177.62 × 7,203.83
  4. Step 4: Simplify right side
    13,172.31x = 130,948,357.38
  5. Step 5: Solve for x
    x = 130,948,357.38/13,172.31
  6. Step 6: Final answer
    x = 9,941.18

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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.