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Finding the Fourth Proportional to 20,805.84, 28,712.34 and 11,374.38

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Solution

The fourth proportional to 20,805.84, 28,712.34 and 11,374.38 is: 15,696.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,805.84 : 28,712.34 = 11,374.38 : x
  2. Step 2: Convert to fraction form
    20,805.84/28,712.34 = 11,374.38/x
  3. Step 3: Cross multiply
    20,805.84x = 28,712.34 × 11,374.38
  4. Step 4: Simplify right side
    20,805.84x = 326,585,065.85
  5. Step 5: Solve for x
    x = 326,585,065.85/20,805.84
  6. Step 6: Final answer
    x = 15,696.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.