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Finding the Fourth Proportional to 15,965.04, 23,914.92 and 13,014

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Solution

The fourth proportional to 15,965.04, 23,914.92 and 13,014 is: 19,494.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,965.04 : 23,914.92 = 13,014 : x
  2. Step 2: Convert to fraction form
    15,965.04/23,914.92 = 13,014/x
  3. Step 3: Cross multiply
    15,965.04x = 23,914.92 × 13,014
  4. Step 4: Simplify right side
    15,965.04x = 311,228,768.88
  5. Step 5: Solve for x
    x = 311,228,768.88/15,965.04
  6. Step 6: Final answer
    x = 19,494.39

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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.