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Finding the Fourth Proportional to 13,066.58, 18,031.82 and 7,692.14

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Solution

The fourth proportional to 13,066.58, 18,031.82 and 7,692.14 is: 10,615.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,066.58 : 18,031.82 = 7,692.14 : x
  2. Step 2: Convert to fraction form
    13,066.58/18,031.82 = 7,692.14/x
  3. Step 3: Cross multiply
    13,066.58x = 18,031.82 × 7,692.14
  4. Step 4: Simplify right side
    13,066.58x = 138,703,283.89
  5. Step 5: Solve for x
    x = 138,703,283.89/13,066.58
  6. Step 6: Final answer
    x = 10,615.12

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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.