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Finding the Fourth Proportional to 15,078.95, 20,809.07 and 8,272.92

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Solution

The fourth proportional to 15,078.95, 20,809.07 and 8,272.92 is: 11,416.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,078.95 : 20,809.07 = 8,272.92 : x
  2. Step 2: Convert to fraction form
    15,078.95/20,809.07 = 8,272.92/x
  3. Step 3: Cross multiply
    15,078.95x = 20,809.07 × 8,272.92
  4. Step 4: Simplify right side
    15,078.95x = 172,151,771.38
  5. Step 5: Solve for x
    x = 172,151,771.38/15,078.95
  6. Step 6: Final answer
    x = 11,416.69

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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.