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Finding the Fourth Proportional to 14,957.94, 20,642.09 and 8,243.80

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Solution

The fourth proportional to 14,957.94, 20,642.09 and 8,243.80 is: 11,376.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,957.94 : 20,642.09 = 8,243.80 : x
  2. Step 2: Convert to fraction form
    14,957.94/20,642.09 = 8,243.80/x
  3. Step 3: Cross multiply
    14,957.94x = 20,642.09 × 8,243.80
  4. Step 4: Simplify right side
    14,957.94x = 170,169,261.54
  5. Step 5: Solve for x
    x = 170,169,261.54/14,957.94
  6. Step 6: Final answer
    x = 11,376.52

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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.