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Finding the Fourth Proportional to 12,406.14, 17,120.58 and 6,817.14

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Solution

The fourth proportional to 12,406.14, 17,120.58 and 6,817.14 is: 9,407.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406.14 : 17,120.58 = 6,817.14 : x
  2. Step 2: Convert to fraction form
    12,406.14/17,120.58 = 6,817.14/x
  3. Step 3: Cross multiply
    12,406.14x = 17,120.58 × 6,817.14
  4. Step 4: Simplify right side
    12,406.14x = 116,713,390.74
  5. Step 5: Solve for x
    x = 116,713,390.74/12,406.14
  6. Step 6: Final answer
    x = 9,407.71

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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.