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Finding the Fourth Proportional to 23,331.76, 32,184.84 and 16,165.88

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Solution

The fourth proportional to 23,331.76, 32,184.84 and 16,165.88 is: 22,299.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,331.76 : 32,184.84 = 16,165.88 : x
  2. Step 2: Convert to fraction form
    23,331.76/32,184.84 = 16,165.88/x
  3. Step 3: Cross multiply
    23,331.76x = 32,184.84 × 16,165.88
  4. Step 4: Simplify right side
    23,331.76x = 520,296,261.26
  5. Step 5: Solve for x
    x = 520,296,261.26/23,331.76
  6. Step 6: Final answer
    x = 22,299.91

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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.