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Finding the Fourth Proportional to 23,672.64, 32,670.24 and 13,736

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Solution

The fourth proportional to 23,672.64, 32,670.24 and 13,736 is: 18,956.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,672.64 : 32,670.24 = 13,736 : x
  2. Step 2: Convert to fraction form
    23,672.64/32,670.24 = 13,736/x
  3. Step 3: Cross multiply
    23,672.64x = 32,670.24 × 13,736
  4. Step 4: Simplify right side
    23,672.64x = 448,758,416.64
  5. Step 5: Solve for x
    x = 448,758,416.64/23,672.64
  6. Step 6: Final answer
    x = 18,956.84

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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.