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Finding the Fourth Proportional to 28,241.75, 38,973.42 and 15,494.58

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Solution

The fourth proportional to 28,241.75, 38,973.42 and 15,494.58 is: 21,382.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,241.75 : 38,973.42 = 15,494.58 : x
  2. Step 2: Convert to fraction form
    28,241.75/38,973.42 = 15,494.58/x
  3. Step 3: Cross multiply
    28,241.75x = 38,973.42 × 15,494.58
  4. Step 4: Simplify right side
    28,241.75x = 603,876,774.06
  5. Step 5: Solve for x
    x = 603,876,774.06/28,241.75
  6. Step 6: Final answer
    x = 21,382.41

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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.