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Finding the Fourth Proportional to 12,794.46, 19,162.89 and 9,513.18

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Solution

The fourth proportional to 12,794.46, 19,162.89 and 9,513.18 is: 14,248.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,794.46 : 19,162.89 = 9,513.18 : x
  2. Step 2: Convert to fraction form
    12,794.46/19,162.89 = 9,513.18/x
  3. Step 3: Cross multiply
    12,794.46x = 19,162.89 × 9,513.18
  4. Step 4: Simplify right side
    12,794.46x = 182,300,021.89
  5. Step 5: Solve for x
    x = 182,300,021.89/12,794.46
  6. Step 6: Final answer
    x = 14,248.36

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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.