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Finding the Fourth Proportional to 13,187.93, 19,750.50 and 7,629.57

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Solution

The fourth proportional to 13,187.93, 19,750.50 and 7,629.57 is: 11,426.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,187.93 : 19,750.50 = 7,629.57 : x
  2. Step 2: Convert to fraction form
    13,187.93/19,750.50 = 7,629.57/x
  3. Step 3: Cross multiply
    13,187.93x = 19,750.50 × 7,629.57
  4. Step 4: Simplify right side
    13,187.93x = 150,687,822.29
  5. Step 5: Solve for x
    x = 150,687,822.29/13,187.93
  6. Step 6: Final answer
    x = 11,426.20

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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.