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Finding the Fourth Proportional to 23,076.04, 31,847.16 and 14,692

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Solution

The fourth proportional to 23,076.04, 31,847.16 and 14,692 is: 20,276.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,076.04 : 31,847.16 = 14,692 : x
  2. Step 2: Convert to fraction form
    23,076.04/31,847.16 = 14,692/x
  3. Step 3: Cross multiply
    23,076.04x = 31,847.16 × 14,692
  4. Step 4: Simplify right side
    23,076.04x = 467,898,474.72
  5. Step 5: Solve for x
    x = 467,898,474.72/23,076.04
  6. Step 6: Final answer
    x = 20,276.38

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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.