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Finding the Fourth Proportional to 19,513.94, 29,269.88 and 5,474.94

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Solution

The fourth proportional to 19,513.94, 29,269.88 and 5,474.94 is: 8,212.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,513.94 : 29,269.88 = 5,474.94 : x
  2. Step 2: Convert to fraction form
    19,513.94/29,269.88 = 5,474.94/x
  3. Step 3: Cross multiply
    19,513.94x = 29,269.88 × 5,474.94
  4. Step 4: Simplify right side
    19,513.94x = 160,250,836.81
  5. Step 5: Solve for x
    x = 160,250,836.81/19,513.94
  6. Step 6: Final answer
    x = 8,212.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.