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Finding the Fourth Proportional to 15,097.01, 20,819.37 and 9,046.31

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Solution

The fourth proportional to 15,097.01, 20,819.37 and 9,046.31 is: 12,475.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,097.01 : 20,819.37 = 9,046.31 : x
  2. Step 2: Convert to fraction form
    15,097.01/20,819.37 = 9,046.31/x
  3. Step 3: Cross multiply
    15,097.01x = 20,819.37 × 9,046.31
  4. Step 4: Simplify right side
    15,097.01x = 188,338,475.02
  5. Step 5: Solve for x
    x = 188,338,475.02/15,097.01
  6. Step 6: Final answer
    x = 12,475.22

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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.