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Finding the Fourth Proportional to 13,310.94, 19,882.65 and 9,769.62

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Solution

The fourth proportional to 13,310.94, 19,882.65 and 9,769.62 is: 14,592.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,310.94 : 19,882.65 = 9,769.62 : x
  2. Step 2: Convert to fraction form
    13,310.94/19,882.65 = 9,769.62/x
  3. Step 3: Cross multiply
    13,310.94x = 19,882.65 × 9,769.62
  4. Step 4: Simplify right side
    13,310.94x = 194,245,935.09
  5. Step 5: Solve for x
    x = 194,245,935.09/13,310.94
  6. Step 6: Final answer
    x = 14,592.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.