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Finding the Fourth Proportional to 13,017.42, 19,446.99 and 8,299.83

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Solution

The fourth proportional to 13,017.42, 19,446.99 and 8,299.83 is: 12,399.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,017.42 : 19,446.99 = 8,299.83 : x
  2. Step 2: Convert to fraction form
    13,017.42/19,446.99 = 8,299.83/x
  3. Step 3: Cross multiply
    13,017.42x = 19,446.99 × 8,299.83
  4. Step 4: Simplify right side
    13,017.42x = 161,406,711.01
  5. Step 5: Solve for x
    x = 161,406,711.01/13,017.42
  6. Step 6: Final answer
    x = 12,399.29

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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.