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Finding the Fourth Proportional to 11,682.39, 17,420.70 and 11,577.09

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Solution

The fourth proportional to 11,682.39, 17,420.70 and 11,577.09 is: 17,263.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,682.39 : 17,420.70 = 11,577.09 : x
  2. Step 2: Convert to fraction form
    11,682.39/17,420.70 = 11,577.09/x
  3. Step 3: Cross multiply
    11,682.39x = 17,420.70 × 11,577.09
  4. Step 4: Simplify right side
    11,682.39x = 201,681,011.76
  5. Step 5: Solve for x
    x = 201,681,011.76/11,682.39
  6. Step 6: Final answer
    x = 17,263.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.