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Finding the Fourth Proportional to 17,209.35, 23,746.95 and 9,654.69

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Solution

The fourth proportional to 17,209.35, 23,746.95 and 9,654.69 is: 13,322.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,209.35 : 23,746.95 = 9,654.69 : x
  2. Step 2: Convert to fraction form
    17,209.35/23,746.95 = 9,654.69/x
  3. Step 3: Cross multiply
    17,209.35x = 23,746.95 × 9,654.69
  4. Step 4: Simplify right side
    17,209.35x = 229,269,440.70
  5. Step 5: Solve for x
    x = 229,269,440.70/17,209.35
  6. Step 6: Final answer
    x = 13,322.38

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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.