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Finding the Fourth Proportional to 15,201.07, 22,800 and 7,193.92

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Solution

The fourth proportional to 15,201.07, 22,800 and 7,193.92 is: 10,790.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,201.07 : 22,800 = 7,193.92 : x
  2. Step 2: Convert to fraction form
    15,201.07/22,800 = 7,193.92/x
  3. Step 3: Cross multiply
    15,201.07x = 22,800 × 7,193.92
  4. Step 4: Simplify right side
    15,201.07x = 164,021,376
  5. Step 5: Solve for x
    x = 164,021,376/15,201.07
  6. Step 6: Final answer
    x = 10,790.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.