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Finding the Fourth Proportional to 12,740.74, 17,581.62 and 7,075.85

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Solution

The fourth proportional to 12,740.74, 17,581.62 and 7,075.85 is: 9,764.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,740.74 : 17,581.62 = 7,075.85 : x
  2. Step 2: Convert to fraction form
    12,740.74/17,581.62 = 7,075.85/x
  3. Step 3: Cross multiply
    12,740.74x = 17,581.62 × 7,075.85
  4. Step 4: Simplify right side
    12,740.74x = 124,404,905.88
  5. Step 5: Solve for x
    x = 124,404,905.88/12,740.74
  6. Step 6: Final answer
    x = 9,764.34

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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.