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Finding the Fourth Proportional to 12,757.68, 19,088.43 and 11,462.76

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Solution

The fourth proportional to 12,757.68, 19,088.43 and 11,462.76 is: 17,150.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,757.68 : 19,088.43 = 11,462.76 : x
  2. Step 2: Convert to fraction form
    12,757.68/19,088.43 = 11,462.76/x
  3. Step 3: Cross multiply
    12,757.68x = 19,088.43 × 11,462.76
  4. Step 4: Simplify right side
    12,757.68x = 218,806,091.87
  5. Step 5: Solve for x
    x = 218,806,091.87/12,757.68
  6. Step 6: Final answer
    x = 17,150.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.