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Finding the Fourth Proportional to 12,690.14, 17,512.61 and 7,384.84

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Solution

The fourth proportional to 12,690.14, 17,512.61 and 7,384.84 is: 10,191.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,690.14 : 17,512.61 = 7,384.84 : x
  2. Step 2: Convert to fraction form
    12,690.14/17,512.61 = 7,384.84/x
  3. Step 3: Cross multiply
    12,690.14x = 17,512.61 × 7,384.84
  4. Step 4: Simplify right side
    12,690.14x = 129,327,742.13
  5. Step 5: Solve for x
    x = 129,327,742.13/12,690.14
  6. Step 6: Final answer
    x = 10,191.20

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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.