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Finding the Fourth Proportional to 16,852.88, 23,261.22 and 9,783.41

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Solution

The fourth proportional to 16,852.88, 23,261.22 and 9,783.41 is: 13,503.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,852.88 : 23,261.22 = 9,783.41 : x
  2. Step 2: Convert to fraction form
    16,852.88/23,261.22 = 9,783.41/x
  3. Step 3: Cross multiply
    16,852.88x = 23,261.22 × 9,783.41
  4. Step 4: Simplify right side
    16,852.88x = 227,573,936.05
  5. Step 5: Solve for x
    x = 227,573,936.05/16,852.88
  6. Step 6: Final answer
    x = 13,503.57

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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.