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Finding the Fourth Proportional to 15,933.38, 21,993.53 and 9,645.75

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Solution

The fourth proportional to 15,933.38, 21,993.53 and 9,645.75 is: 13,314.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,933.38 : 21,993.53 = 9,645.75 : x
  2. Step 2: Convert to fraction form
    15,933.38/21,993.53 = 9,645.75/x
  3. Step 3: Cross multiply
    15,933.38x = 21,993.53 × 9,645.75
  4. Step 4: Simplify right side
    15,933.38x = 212,144,043.77
  5. Step 5: Solve for x
    x = 212,144,043.77/15,933.38
  6. Step 6: Final answer
    x = 13,314.44

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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.