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Finding the Fourth Proportional to 17,407.80, 26,079.30 and 16,241.40

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Solution

The fourth proportional to 17,407.80, 26,079.30 and 16,241.40 is: 24,331.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,407.80 : 26,079.30 = 16,241.40 : x
  2. Step 2: Convert to fraction form
    17,407.80/26,079.30 = 16,241.40/x
  3. Step 3: Cross multiply
    17,407.80x = 26,079.30 × 16,241.40
  4. Step 4: Simplify right side
    17,407.80x = 423,564,343.02
  5. Step 5: Solve for x
    x = 423,564,343.02/17,407.80
  6. Step 6: Final answer
    x = 24,331.87

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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.