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Finding the Fourth Proportional to 23,672.20, 32,663.64 and 13,598.32

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Solution

The fourth proportional to 23,672.20, 32,663.64 and 13,598.32 is: 18,763.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,672.20 : 32,663.64 = 13,598.32 : x
  2. Step 2: Convert to fraction form
    23,672.20/32,663.64 = 13,598.32/x
  3. Step 3: Cross multiply
    23,672.20x = 32,663.64 × 13,598.32
  4. Step 4: Simplify right side
    23,672.20x = 444,170,629.08
  5. Step 5: Solve for x
    x = 444,170,629.08/23,672.20
  6. Step 6: Final answer
    x = 18,763.39

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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.