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Finding the Fourth Proportional to 28,097.82, 38,770.38 and 16,158.69

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Solution

The fourth proportional to 28,097.82, 38,770.38 and 16,158.69 is: 22,296.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,097.82 : 38,770.38 = 16,158.69 : x
  2. Step 2: Convert to fraction form
    28,097.82/38,770.38 = 16,158.69/x
  3. Step 3: Cross multiply
    28,097.82x = 38,770.38 × 16,158.69
  4. Step 4: Simplify right side
    28,097.82x = 626,478,551.60
  5. Step 5: Solve for x
    x = 626,478,551.60/28,097.82
  6. Step 6: Final answer
    x = 22,296.34

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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.