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Finding the Fourth Proportional to 15,969.14, 22,029.97 and 10,302.42

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Solution

The fourth proportional to 15,969.14, 22,029.97 and 10,302.42 is: 14,212.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,969.14 : 22,029.97 = 10,302.42 : x
  2. Step 2: Convert to fraction form
    15,969.14/22,029.97 = 10,302.42/x
  3. Step 3: Cross multiply
    15,969.14x = 22,029.97 × 10,302.42
  4. Step 4: Simplify right side
    15,969.14x = 226,962,003.53
  5. Step 5: Solve for x
    x = 226,962,003.53/15,969.14
  6. Step 6: Final answer
    x = 14,212.54

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