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Finding the Fourth Proportional to 17,886.49, 26,834.50 and 6,199.69

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Solution

The fourth proportional to 17,886.49, 26,834.50 and 6,199.69 is: 9,301.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,886.49 : 26,834.50 = 6,199.69 : x
  2. Step 2: Convert to fraction form
    17,886.49/26,834.50 = 6,199.69/x
  3. Step 3: Cross multiply
    17,886.49x = 26,834.50 × 6,199.69
  4. Step 4: Simplify right side
    17,886.49x = 166,365,581.31
  5. Step 5: Solve for x
    x = 166,365,581.31/17,886.49
  6. Step 6: Final answer
    x = 9,301.19

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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.