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Finding the Fourth Proportional to 13,172.54, 18,177.72 and 7,505.78

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Solution

The fourth proportional to 13,172.54, 18,177.72 and 7,505.78 is: 10,357.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,172.54 : 18,177.72 = 7,505.78 : x
  2. Step 2: Convert to fraction form
    13,172.54/18,177.72 = 7,505.78/x
  3. Step 3: Cross multiply
    13,172.54x = 18,177.72 × 7,505.78
  4. Step 4: Simplify right side
    13,172.54x = 136,437,967.22
  5. Step 5: Solve for x
    x = 136,437,967.22/13,172.54
  6. Step 6: Final answer
    x = 10,357.76

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