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Finding the Fourth Proportional to 12,157.68, 16,777.52 and 7,122.88

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Solution

The fourth proportional to 12,157.68, 16,777.52 and 7,122.88 is: 9,829.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,157.68 : 16,777.52 = 7,122.88 : x
  2. Step 2: Convert to fraction form
    12,157.68/16,777.52 = 7,122.88/x
  3. Step 3: Cross multiply
    12,157.68x = 16,777.52 × 7,122.88
  4. Step 4: Simplify right side
    12,157.68x = 119,504,261.66
  5. Step 5: Solve for x
    x = 119,504,261.66/12,157.68
  6. Step 6: Final answer
    x = 9,829.53

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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.