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Finding the Fourth Proportional to 20,596.98, 30,821.66 and 17,833.20

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Solution

The fourth proportional to 20,596.98, 30,821.66 and 17,833.20 is: 26,685.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,596.98 : 30,821.66 = 17,833.20 : x
  2. Step 2: Convert to fraction form
    20,596.98/30,821.66 = 17,833.20/x
  3. Step 3: Cross multiply
    20,596.98x = 30,821.66 × 17,833.20
  4. Step 4: Simplify right side
    20,596.98x = 549,648,827.11
  5. Step 5: Solve for x
    x = 549,648,827.11/20,596.98
  6. Step 6: Final answer
    x = 26,685.89

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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.