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Finding the Fourth Proportional to 13,640.16, 18,741.84 and 10,840.80

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Solution

The fourth proportional to 13,640.16, 18,741.84 and 10,840.80 is: 14,895.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,640.16 : 18,741.84 = 10,840.80 : x
  2. Step 2: Convert to fraction form
    13,640.16/18,741.84 = 10,840.80/x
  3. Step 3: Cross multiply
    13,640.16x = 18,741.84 × 10,840.80
  4. Step 4: Simplify right side
    13,640.16x = 203,176,539.07
  5. Step 5: Solve for x
    x = 203,176,539.07/13,640.16
  6. Step 6: Final answer
    x = 14,895.47

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.