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Finding the Fourth Proportional to 12,866.49, 19,272.92 and 10,354.14

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Solution

The fourth proportional to 12,866.49, 19,272.92 and 10,354.14 is: 15,509.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,866.49 : 19,272.92 = 10,354.14 : x
  2. Step 2: Convert to fraction form
    12,866.49/19,272.92 = 10,354.14/x
  3. Step 3: Cross multiply
    12,866.49x = 19,272.92 × 10,354.14
  4. Step 4: Simplify right side
    12,866.49x = 199,554,460.12
  5. Step 5: Solve for x
    x = 199,554,460.12/12,866.49
  6. Step 6: Final answer
    x = 15,509.63

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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.