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Finding the Fourth Proportional to 23,446.64, 32,341.20 and 16,375.34

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Solution

The fourth proportional to 23,446.64, 32,341.20 and 16,375.34 is: 22,587.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,446.64 : 32,341.20 = 16,375.34 : x
  2. Step 2: Convert to fraction form
    23,446.64/32,341.20 = 16,375.34/x
  3. Step 3: Cross multiply
    23,446.64x = 32,341.20 × 16,375.34
  4. Step 4: Simplify right side
    23,446.64x = 529,598,146.01
  5. Step 5: Solve for x
    x = 529,598,146.01/23,446.64
  6. Step 6: Final answer
    x = 22,587.38

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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.