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Finding the Fourth Proportional to 16,471.93, 22,730.84 and 9,204.08

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Solution

The fourth proportional to 16,471.93, 22,730.84 and 9,204.08 is: 12,701.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,471.93 : 22,730.84 = 9,204.08 : x
  2. Step 2: Convert to fraction form
    16,471.93/22,730.84 = 9,204.08/x
  3. Step 3: Cross multiply
    16,471.93x = 22,730.84 × 9,204.08
  4. Step 4: Simplify right side
    16,471.93x = 209,216,469.83
  5. Step 5: Solve for x
    x = 209,216,469.83/16,471.93
  6. Step 6: Final answer
    x = 12,701.39

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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.