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Finding the Fourth Proportional to 12,864.65, 19,271.99 and 9,481.29

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Solution

The fourth proportional to 12,864.65, 19,271.99 and 9,481.29 is: 14,203.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,864.65 : 19,271.99 = 9,481.29 : x
  2. Step 2: Convert to fraction form
    12,864.65/19,271.99 = 9,481.29/x
  3. Step 3: Cross multiply
    12,864.65x = 19,271.99 × 9,481.29
  4. Step 4: Simplify right side
    12,864.65x = 182,723,349.77
  5. Step 5: Solve for x
    x = 182,723,349.77/12,864.65
  6. Step 6: Final answer
    x = 14,203.53

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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.