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Finding the Fourth Proportional to 12,963.66, 19,442.61 and 5,170.38

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Solution

The fourth proportional to 12,963.66, 19,442.61 and 5,170.38 is: 7,754.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,963.66 : 19,442.61 = 5,170.38 : x
  2. Step 2: Convert to fraction form
    12,963.66/19,442.61 = 5,170.38/x
  3. Step 3: Cross multiply
    12,963.66x = 19,442.61 × 5,170.38
  4. Step 4: Simplify right side
    12,963.66x = 100,525,681.89
  5. Step 5: Solve for x
    x = 100,525,681.89/12,963.66
  6. Step 6: Final answer
    x = 7,754.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.