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Finding the Fourth Proportional to 20,574.38, 28,389.30 and 11,619.84

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Solution

The fourth proportional to 20,574.38, 28,389.30 and 11,619.84 is: 16,033.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,574.38 : 28,389.30 = 11,619.84 : x
  2. Step 2: Convert to fraction form
    20,574.38/28,389.30 = 11,619.84/x
  3. Step 3: Cross multiply
    20,574.38x = 28,389.30 × 11,619.84
  4. Step 4: Simplify right side
    20,574.38x = 329,879,123.71
  5. Step 5: Solve for x
    x = 329,879,123.71/20,574.38
  6. Step 6: Final answer
    x = 16,033.49

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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.