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Finding the Fourth Proportional to 16,409.66, 24,615.78 and 8,085.13

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Solution

The fourth proportional to 16,409.66, 24,615.78 and 8,085.13 is: 12,128.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,409.66 : 24,615.78 = 8,085.13 : x
  2. Step 2: Convert to fraction form
    16,409.66/24,615.78 = 8,085.13/x
  3. Step 3: Cross multiply
    16,409.66x = 24,615.78 × 8,085.13
  4. Step 4: Simplify right side
    16,409.66x = 199,021,781.35
  5. Step 5: Solve for x
    x = 199,021,781.35/16,409.66
  6. Step 6: Final answer
    x = 12,128.33

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1.5x scale

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.