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Finding the Fourth Proportional to 12,769.65, 19,154.51 and 3,885.06

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Solution

The fourth proportional to 12,769.65, 19,154.51 and 3,885.06 is: 5,827.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,769.65 : 19,154.51 = 3,885.06 : x
  2. Step 2: Convert to fraction form
    12,769.65/19,154.51 = 3,885.06/x
  3. Step 3: Cross multiply
    12,769.65x = 19,154.51 × 3,885.06
  4. Step 4: Simplify right side
    12,769.65x = 74,416,487.59
  5. Step 5: Solve for x
    x = 74,416,487.59/12,769.65
  6. Step 6: Final answer
    x = 5,827.61

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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.