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Finding the Fourth Proportional to 23,783.76, 32,822.46 and 13,174.38

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Solution

The fourth proportional to 23,783.76, 32,822.46 and 13,174.38 is: 18,181.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,783.76 : 32,822.46 = 13,174.38 : x
  2. Step 2: Convert to fraction form
    23,783.76/32,822.46 = 13,174.38/x
  3. Step 3: Cross multiply
    23,783.76x = 32,822.46 × 13,174.38
  4. Step 4: Simplify right side
    23,783.76x = 432,415,560.57
  5. Step 5: Solve for x
    x = 432,415,560.57/23,783.76
  6. Step 6: Final answer
    x = 18,181.13

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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.