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Finding the Fourth Proportional to 12,442.68, 17,195.70 and 10,201.08

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Solution

The fourth proportional to 12,442.68, 17,195.70 and 10,201.08 is: 14,097.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442.68 : 17,195.70 = 10,201.08 : x
  2. Step 2: Convert to fraction form
    12,442.68/17,195.70 = 10,201.08/x
  3. Step 3: Cross multiply
    12,442.68x = 17,195.70 × 10,201.08
  4. Step 4: Simplify right side
    12,442.68x = 175,414,711.36
  5. Step 5: Solve for x
    x = 175,414,711.36/12,442.68
  6. Step 6: Final answer
    x = 14,097.82

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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.