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Finding the Fourth Proportional to 20,990, 28,966.24 and 11,559.44

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Solution

The fourth proportional to 20,990, 28,966.24 and 11,559.44 is: 15,952.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,990 : 28,966.24 = 11,559.44 : x
  2. Step 2: Convert to fraction form
    20,990/28,966.24 = 11,559.44/x
  3. Step 3: Cross multiply
    20,990x = 28,966.24 × 11,559.44
  4. Step 4: Simplify right side
    20,990x = 334,833,513.31
  5. Step 5: Solve for x
    x = 334,833,513.31/20,990
  6. Step 6: Final answer
    x = 15,952.05

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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.