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Finding the Fourth Proportional to 16,004.02, 22,085.57 and 8,930.46

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Solution

The fourth proportional to 16,004.02, 22,085.57 and 8,930.46 is: 12,324.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,004.02 : 22,085.57 = 8,930.46 : x
  2. Step 2: Convert to fraction form
    16,004.02/22,085.57 = 8,930.46/x
  3. Step 3: Cross multiply
    16,004.02x = 22,085.57 × 8,930.46
  4. Step 4: Simplify right side
    16,004.02x = 197,234,254.81
  5. Step 5: Solve for x
    x = 197,234,254.81/16,004.02
  6. Step 6: Final answer
    x = 12,324.05

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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.