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Finding the Fourth Proportional to 16,052, 24,120.48 and 8,661.92

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Solution

The fourth proportional to 16,052, 24,120.48 and 8,661.92 is: 13,015.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,052 : 24,120.48 = 8,661.92 : x
  2. Step 2: Convert to fraction form
    16,052/24,120.48 = 8,661.92/x
  3. Step 3: Cross multiply
    16,052x = 24,120.48 × 8,661.92
  4. Step 4: Simplify right side
    16,052x = 208,929,668.12
  5. Step 5: Solve for x
    x = 208,929,668.12/16,052
  6. Step 6: Final answer
    x = 13,015.80

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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.