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Finding the Fourth Proportional to 20,570.38, 28,387.12 and 11,619.78

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Solution

The fourth proportional to 20,570.38, 28,387.12 and 11,619.78 is: 16,035.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,570.38 : 28,387.12 = 11,619.78 : x
  2. Step 2: Convert to fraction form
    20,570.38/28,387.12 = 11,619.78/x
  3. Step 3: Cross multiply
    20,570.38x = 28,387.12 × 11,619.78
  4. Step 4: Simplify right side
    20,570.38x = 329,852,089.23
  5. Step 5: Solve for x
    x = 329,852,089.23/20,570.38
  6. Step 6: Final answer
    x = 16,035.29

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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.