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Finding the Fourth Proportional to 12,866.40, 19,274.13 and 10,080.09

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Solution

The fourth proportional to 12,866.40, 19,274.13 and 10,080.09 is: 15,100.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,866.40 : 19,274.13 = 10,080.09 : x
  2. Step 2: Convert to fraction form
    12,866.40/19,274.13 = 10,080.09/x
  3. Step 3: Cross multiply
    12,866.40x = 19,274.13 × 10,080.09
  4. Step 4: Simplify right side
    12,866.40x = 194,284,965.07
  5. Step 5: Solve for x
    x = 194,284,965.07/12,866.40
  6. Step 6: Final answer
    x = 15,100.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.