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Finding the Fourth Proportional to 17,669.80, 26,503.32 and 7,809.40

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Solution

The fourth proportional to 17,669.80, 26,503.32 and 7,809.40 is: 11,713.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,669.80 : 26,503.32 = 7,809.40 : x
  2. Step 2: Convert to fraction form
    17,669.80/26,503.32 = 7,809.40/x
  3. Step 3: Cross multiply
    17,669.80x = 26,503.32 × 7,809.40
  4. Step 4: Simplify right side
    17,669.80x = 206,975,027.21
  5. Step 5: Solve for x
    x = 206,975,027.21/17,669.80
  6. Step 6: Final answer
    x = 11,713.49

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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.