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Finding the Fourth Proportional to 12,788.46, 17,653.95 and 7,481.34

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Solution

The fourth proportional to 12,788.46, 17,653.95 and 7,481.34 is: 10,327.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,788.46 : 17,653.95 = 7,481.34 : x
  2. Step 2: Convert to fraction form
    12,788.46/17,653.95 = 7,481.34/x
  3. Step 3: Cross multiply
    12,788.46x = 17,653.95 × 7,481.34
  4. Step 4: Simplify right side
    12,788.46x = 132,075,202.29
  5. Step 5: Solve for x
    x = 132,075,202.29/12,788.46
  6. Step 6: Final answer
    x = 10,327.69

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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.