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Finding the Fourth Proportional to 12,405.97, 17,119.95 and 6,740.58

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Solution

The fourth proportional to 12,405.97, 17,119.95 and 6,740.58 is: 9,301.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,405.97 : 17,119.95 = 6,740.58 : x
  2. Step 2: Convert to fraction form
    12,405.97/17,119.95 = 6,740.58/x
  3. Step 3: Cross multiply
    12,405.97x = 17,119.95 × 6,740.58
  4. Step 4: Simplify right side
    12,405.97x = 115,398,392.57
  5. Step 5: Solve for x
    x = 115,398,392.57/12,405.97
  6. Step 6: Final answer
    x = 9,301.84

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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.