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Finding the Fourth Proportional to 12,921.80, 17,832.20 and 7,548

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Solution

The fourth proportional to 12,921.80, 17,832.20 and 7,548 is: 10,416.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,921.80 : 17,832.20 = 7,548 : x
  2. Step 2: Convert to fraction form
    12,921.80/17,832.20 = 7,548/x
  3. Step 3: Cross multiply
    12,921.80x = 17,832.20 × 7,548
  4. Step 4: Simplify right side
    12,921.80x = 134,597,445.60
  5. Step 5: Solve for x
    x = 134,597,445.60/12,921.80
  6. Step 6: Final answer
    x = 10,416.31

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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.