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Finding the Fourth Proportional to 12,934.14, 17,812.47 and 11,767.74

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Solution

The fourth proportional to 12,934.14, 17,812.47 and 11,767.74 is: 16,206.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,934.14 : 17,812.47 = 11,767.74 : x
  2. Step 2: Convert to fraction form
    12,934.14/17,812.47 = 11,767.74/x
  3. Step 3: Cross multiply
    12,934.14x = 17,812.47 × 11,767.74
  4. Step 4: Simplify right side
    12,934.14x = 209,612,515.72
  5. Step 5: Solve for x
    x = 209,612,515.72/12,934.14
  6. Step 6: Final answer
    x = 16,206.14

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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.