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Finding the Fourth Proportional to 16,469.76, 24,707.52 and 6,078.72

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Solution

The fourth proportional to 16,469.76, 24,707.52 and 6,078.72 is: 9,119.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,469.76 : 24,707.52 = 6,078.72 : x
  2. Step 2: Convert to fraction form
    16,469.76/24,707.52 = 6,078.72/x
  3. Step 3: Cross multiply
    16,469.76x = 24,707.52 × 6,078.72
  4. Step 4: Simplify right side
    16,469.76x = 150,190,095.97
  5. Step 5: Solve for x
    x = 150,190,095.97/16,469.76
  6. Step 6: Final answer
    x = 9,119.14

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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.