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Finding the Fourth Proportional to 17,209.50, 25,811.16 and 4,559.34

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Solution

The fourth proportional to 17,209.50, 25,811.16 and 4,559.34 is: 6,838.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,209.50 : 25,811.16 = 4,559.34 : x
  2. Step 2: Convert to fraction form
    17,209.50/25,811.16 = 4,559.34/x
  3. Step 3: Cross multiply
    17,209.50x = 25,811.16 × 4,559.34
  4. Step 4: Simplify right side
    17,209.50x = 117,681,854.23
  5. Step 5: Solve for x
    x = 117,681,854.23/17,209.50
  6. Step 6: Final answer
    x = 6,838.19

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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.