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Finding the Fourth Proportional to 13,743.54, 18,966.08 and 7,775.08

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Solution

The fourth proportional to 13,743.54, 18,966.08 and 7,775.08 is: 10,729.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,743.54 : 18,966.08 = 7,775.08 : x
  2. Step 2: Convert to fraction form
    13,743.54/18,966.08 = 7,775.08/x
  3. Step 3: Cross multiply
    13,743.54x = 18,966.08 × 7,775.08
  4. Step 4: Simplify right side
    13,743.54x = 147,462,761.31
  5. Step 5: Solve for x
    x = 147,462,761.31/13,743.54
  6. Step 6: Final answer
    x = 10,729.61

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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.