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Finding the Fourth Proportional to 12,769.68, 19,154.50 and 4,005.26

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Solution

The fourth proportional to 12,769.68, 19,154.50 and 4,005.26 is: 6,007.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,769.68 : 19,154.50 = 4,005.26 : x
  2. Step 2: Convert to fraction form
    12,769.68/19,154.50 = 4,005.26/x
  3. Step 3: Cross multiply
    12,769.68x = 19,154.50 × 4,005.26
  4. Step 4: Simplify right side
    12,769.68x = 76,718,752.67
  5. Step 5: Solve for x
    x = 76,718,752.67/12,769.68
  6. Step 6: Final answer
    x = 6,007.88

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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.