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Finding the Fourth Proportional to 12,891.56, 19,341.72 and 5,096.12

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Solution

The fourth proportional to 12,891.56, 19,341.72 and 5,096.12 is: 7,645.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,891.56 : 19,341.72 = 5,096.12 : x
  2. Step 2: Convert to fraction form
    12,891.56/19,341.72 = 5,096.12/x
  3. Step 3: Cross multiply
    12,891.56x = 19,341.72 × 5,096.12
  4. Step 4: Simplify right side
    12,891.56x = 98,567,726.13
  5. Step 5: Solve for x
    x = 98,567,726.13/12,891.56
  6. Step 6: Final answer
    x = 7,645.91

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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.