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Finding the Fourth Proportional to 12,999.14, 19,498.62 and 8,321.48

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Solution

The fourth proportional to 12,999.14, 19,498.62 and 8,321.48 is: 12,482.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,999.14 : 19,498.62 = 8,321.48 : x
  2. Step 2: Convert to fraction form
    12,999.14/19,498.62 = 8,321.48/x
  3. Step 3: Cross multiply
    12,999.14x = 19,498.62 × 8,321.48
  4. Step 4: Simplify right side
    12,999.14x = 162,257,376.36
  5. Step 5: Solve for x
    x = 162,257,376.36/12,999.14
  6. Step 6: Final answer
    x = 12,482.16

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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.