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Finding the Fourth Proportional to 13,172.34, 18,177.71 and 7,203.95

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Solution

The fourth proportional to 13,172.34, 18,177.71 and 7,203.95 is: 9,941.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,172.34 : 18,177.71 = 7,203.95 : x
  2. Step 2: Convert to fraction form
    13,172.34/18,177.71 = 7,203.95/x
  3. Step 3: Cross multiply
    13,172.34x = 18,177.71 × 7,203.95
  4. Step 4: Simplify right side
    13,172.34x = 130,951,187.05
  5. Step 5: Solve for x
    x = 130,951,187.05/13,172.34
  6. Step 6: Final answer
    x = 9,941.38

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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.