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Finding the Fourth Proportional to 12,767.14, 17,612.89 and 7,459.57

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Solution

The fourth proportional to 12,767.14, 17,612.89 and 7,459.57 is: 10,290.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,767.14 : 17,612.89 = 7,459.57 : x
  2. Step 2: Convert to fraction form
    12,767.14/17,612.89 = 7,459.57/x
  3. Step 3: Cross multiply
    12,767.14x = 17,612.89 × 7,459.57
  4. Step 4: Simplify right side
    12,767.14x = 131,384,585.86
  5. Step 5: Solve for x
    x = 131,384,585.86/12,767.14
  6. Step 6: Final answer
    x = 10,290.84

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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.