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Finding the Fourth Proportional to 12,843.32, 17,726.74 and 7,539.84

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Solution

The fourth proportional to 12,843.32, 17,726.74 and 7,539.84 is: 10,406.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,843.32 : 17,726.74 = 7,539.84 : x
  2. Step 2: Convert to fraction form
    12,843.32/17,726.74 = 7,539.84/x
  3. Step 3: Cross multiply
    12,843.32x = 17,726.74 × 7,539.84
  4. Step 4: Simplify right side
    12,843.32x = 133,656,783.32
  5. Step 5: Solve for x
    x = 133,656,783.32/12,843.32
  6. Step 6: Final answer
    x = 10,406.72

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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.