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Finding the Fourth Proportional to 23,783.53, 32,821.50 and 13,173.38

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Solution

The fourth proportional to 23,783.53, 32,821.50 and 13,173.38 is: 18,179.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,783.53 : 32,821.50 = 13,173.38 : x
  2. Step 2: Convert to fraction form
    23,783.53/32,821.50 = 13,173.38/x
  3. Step 3: Cross multiply
    23,783.53x = 32,821.50 × 13,173.38
  4. Step 4: Simplify right side
    23,783.53x = 432,370,091.67
  5. Step 5: Solve for x
    x = 432,370,091.67/23,783.53
  6. Step 6: Final answer
    x = 18,179.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.