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Finding the Fourth Proportional to 12,870.24, 17,760.24 and 7,491.84

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Solution

The fourth proportional to 12,870.24, 17,760.24 and 7,491.84 is: 10,338.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,870.24 : 17,760.24 = 7,491.84 : x
  2. Step 2: Convert to fraction form
    12,870.24/17,760.24 = 7,491.84/x
  3. Step 3: Cross multiply
    12,870.24x = 17,760.24 × 7,491.84
  4. Step 4: Simplify right side
    12,870.24x = 133,056,876.44
  5. Step 5: Solve for x
    x = 133,056,876.44/12,870.24
  6. Step 6: Final answer
    x = 10,338.34

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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.