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Finding the Fourth Proportional to 11,986.84, 17,964.87 and 10,502.65

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Solution

The fourth proportional to 11,986.84, 17,964.87 and 10,502.65 is: 15,740.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,986.84 : 17,964.87 = 10,502.65 : x
  2. Step 2: Convert to fraction form
    11,986.84/17,964.87 = 10,502.65/x
  3. Step 3: Cross multiply
    11,986.84x = 17,964.87 × 10,502.65
  4. Step 4: Simplify right side
    11,986.84x = 188,678,741.91
  5. Step 5: Solve for x
    x = 188,678,741.91/11,986.84
  6. Step 6: Final answer
    x = 15,740.49

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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.