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Finding the Fourth Proportional to 12,144.96, 16,741.98 and 7,426.08

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Solution

The fourth proportional to 12,144.96, 16,741.98 and 7,426.08 is: 10,236.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,144.96 : 16,741.98 = 7,426.08 : x
  2. Step 2: Convert to fraction form
    12,144.96/16,741.98 = 7,426.08/x
  3. Step 3: Cross multiply
    12,144.96x = 16,741.98 × 7,426.08
  4. Step 4: Simplify right side
    12,144.96x = 124,327,282.84
  5. Step 5: Solve for x
    x = 124,327,282.84/12,144.96
  6. Step 6: Final answer
    x = 10,236.94

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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.