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Finding the Fourth Proportional to 17,903.64, 26,849.38 and 6,807.66

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Solution

The fourth proportional to 17,903.64, 26,849.38 and 6,807.66 is: 10,209.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,903.64 : 26,849.38 = 6,807.66 : x
  2. Step 2: Convert to fraction form
    17,903.64/26,849.38 = 6,807.66/x
  3. Step 3: Cross multiply
    17,903.64x = 26,849.38 × 6,807.66
  4. Step 4: Simplify right side
    17,903.64x = 182,781,450.25
  5. Step 5: Solve for x
    x = 182,781,450.25/17,903.64
  6. Step 6: Final answer
    x = 10,209.18

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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.