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Finding the Fourth Proportional to 20,805.70, 31,208.55 and 19,423.30

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Solution

The fourth proportional to 20,805.70, 31,208.55 and 19,423.30 is: 29,134.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,805.70 : 31,208.55 = 19,423.30 : x
  2. Step 2: Convert to fraction form
    20,805.70/31,208.55 = 19,423.30/x
  3. Step 3: Cross multiply
    20,805.70x = 31,208.55 × 19,423.30
  4. Step 4: Simplify right side
    20,805.70x = 606,173,029.22
  5. Step 5: Solve for x
    x = 606,173,029.22/20,805.70
  6. Step 6: Final answer
    x = 29,134.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.