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Finding the Fourth Proportional to 14,543.68, 21,796.92 and 12,661.84

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Solution

The fourth proportional to 14,543.68, 21,796.92 and 12,661.84 is: 18,976.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,543.68 : 21,796.92 = 12,661.84 : x
  2. Step 2: Convert to fraction form
    14,543.68/21,796.92 = 12,661.84/x
  3. Step 3: Cross multiply
    14,543.68x = 21,796.92 × 12,661.84
  4. Step 4: Simplify right side
    14,543.68x = 275,989,113.53
  5. Step 5: Solve for x
    x = 275,989,113.53/14,543.68
  6. Step 6: Final answer
    x = 18,976.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.