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Finding the Fourth Proportional to 16,809.40, 23,015.27 and 16,809.40

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Solution

The fourth proportional to 16,809.40, 23,015.27 and 16,809.40 is: 23,015.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,809.40 : 23,015.27 = 16,809.40 : x
  2. Step 2: Convert to fraction form
    16,809.40/23,015.27 = 16,809.40/x
  3. Step 3: Cross multiply
    16,809.40x = 23,015.27 × 16,809.40
  4. Step 4: Simplify right side
    16,809.40x = 386,872,879.54
  5. Step 5: Solve for x
    x = 386,872,879.54/16,809.40
  6. Step 6: Final answer
    x = 23,015.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.