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Finding the Fourth Proportional to 28,159.82, 38,861.76 and 15,584.57

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Solution

The fourth proportional to 28,159.82, 38,861.76 and 15,584.57 is: 21,507.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,159.82 : 38,861.76 = 15,584.57 : x
  2. Step 2: Convert to fraction form
    28,159.82/38,861.76 = 15,584.57/x
  3. Step 3: Cross multiply
    28,159.82x = 38,861.76 × 15,584.57
  4. Step 4: Simplify right side
    28,159.82x = 605,643,819.04
  5. Step 5: Solve for x
    x = 605,643,819.04/28,159.82
  6. Step 6: Final answer
    x = 21,507.38

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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.