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Finding the Fourth Proportional to 13,993.02, 19,310.34 and 7,705.38

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Solution

The fourth proportional to 13,993.02, 19,310.34 and 7,705.38 is: 10,633.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,993.02 : 19,310.34 = 7,705.38 : x
  2. Step 2: Convert to fraction form
    13,993.02/19,310.34 = 7,705.38/x
  3. Step 3: Cross multiply
    13,993.02x = 19,310.34 × 7,705.38
  4. Step 4: Simplify right side
    13,993.02x = 148,793,507.63
  5. Step 5: Solve for x
    x = 148,793,507.63/13,993.02
  6. Step 6: Final answer
    x = 10,633.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.