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Finding the Fourth Proportional to 12,980.42, 17,891.94 and 10,142.84

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Solution

The fourth proportional to 12,980.42, 17,891.94 and 10,142.84 is: 13,980.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,980.42 : 17,891.94 = 10,142.84 : x
  2. Step 2: Convert to fraction form
    12,980.42/17,891.94 = 10,142.84/x
  3. Step 3: Cross multiply
    12,980.42x = 17,891.94 × 10,142.84
  4. Step 4: Simplify right side
    12,980.42x = 181,475,084.71
  5. Step 5: Solve for x
    x = 181,475,084.71/12,980.42
  6. Step 6: Final answer
    x = 13,980.68

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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.