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Finding the Fourth Proportional to 17,089.30, 25,633.95 and 16,433.20

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Solution

The fourth proportional to 17,089.30, 25,633.95 and 16,433.20 is: 24,649.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,089.30 : 25,633.95 = 16,433.20 : x
  2. Step 2: Convert to fraction form
    17,089.30/25,633.95 = 16,433.20/x
  3. Step 3: Cross multiply
    17,089.30x = 25,633.95 × 16,433.20
  4. Step 4: Simplify right side
    17,089.30x = 421,247,827.14
  5. Step 5: Solve for x
    x = 421,247,827.14/17,089.30
  6. Step 6: Final answer
    x = 24,649.80

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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.