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Finding the Fourth Proportional to 12,844.94, 17,726.11 and 7,539.84

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Solution

The fourth proportional to 12,844.94, 17,726.11 and 7,539.84 is: 10,405.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,844.94 : 17,726.11 = 7,539.84 : x
  2. Step 2: Convert to fraction form
    12,844.94/17,726.11 = 7,539.84/x
  3. Step 3: Cross multiply
    12,844.94x = 17,726.11 × 7,539.84
  4. Step 4: Simplify right side
    12,844.94x = 133,652,014.37
  5. Step 5: Solve for x
    x = 133,652,014.37/12,844.94
  6. Step 6: Final answer
    x = 10,405.04

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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.