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Finding the Fourth Proportional to 12,780.59, 17,634.51 and 7,474.34

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Solution

The fourth proportional to 12,780.59, 17,634.51 and 7,474.34 is: 10,313.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,780.59 : 17,634.51 = 7,474.34 : x
  2. Step 2: Convert to fraction form
    12,780.59/17,634.51 = 7,474.34/x
  3. Step 3: Cross multiply
    12,780.59x = 17,634.51 × 7,474.34
  4. Step 4: Simplify right side
    12,780.59x = 131,806,367.56
  5. Step 5: Solve for x
    x = 131,806,367.56/12,780.59
  6. Step 6: Final answer
    x = 10,313.02

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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.