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Finding the Fourth Proportional to 12,840.80, 17,723.28 and 8,356.77

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Solution

The fourth proportional to 12,840.80, 17,723.28 and 8,356.77 is: 11,534.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,840.80 : 17,723.28 = 8,356.77 : x
  2. Step 2: Convert to fraction form
    12,840.80/17,723.28 = 8,356.77/x
  3. Step 3: Cross multiply
    12,840.80x = 17,723.28 × 8,356.77
  4. Step 4: Simplify right side
    12,840.80x = 148,109,382.44
  5. Step 5: Solve for x
    x = 148,109,382.44/12,840.80
  6. Step 6: Final answer
    x = 11,534.28

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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.