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Finding the Fourth Proportional to 15,076.90, 20,806.64 and 9,107.38

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Solution

The fourth proportional to 15,076.90, 20,806.64 and 9,107.38 is: 12,568.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,076.90 : 20,806.64 = 9,107.38 : x
  2. Step 2: Convert to fraction form
    15,076.90/20,806.64 = 9,107.38/x
  3. Step 3: Cross multiply
    15,076.90x = 20,806.64 × 9,107.38
  4. Step 4: Simplify right side
    15,076.90x = 189,493,977.00
  5. Step 5: Solve for x
    x = 189,493,977.00/15,076.90
  6. Step 6: Final answer
    x = 12,568.50

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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.