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Finding the Fourth Proportional to 12,760.83, 19,141.23 and 10,180.17

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Solution

The fourth proportional to 12,760.83, 19,141.23 and 10,180.17 is: 15,270.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,760.83 : 19,141.23 = 10,180.17 : x
  2. Step 2: Convert to fraction form
    12,760.83/19,141.23 = 10,180.17/x
  3. Step 3: Cross multiply
    12,760.83x = 19,141.23 × 10,180.17
  4. Step 4: Simplify right side
    12,760.83x = 194,860,975.41
  5. Step 5: Solve for x
    x = 194,860,975.41/12,760.83
  6. Step 6: Final answer
    x = 15,270.24

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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.