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Finding the Fourth Proportional to 20,215.83, 27,895.71 and 12,453.40

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Solution

The fourth proportional to 20,215.83, 27,895.71 and 12,453.40 is: 17,184.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,215.83 : 27,895.71 = 12,453.40 : x
  2. Step 2: Convert to fraction form
    20,215.83/27,895.71 = 12,453.40/x
  3. Step 3: Cross multiply
    20,215.83x = 27,895.71 × 12,453.40
  4. Step 4: Simplify right side
    20,215.83x = 347,396,434.91
  5. Step 5: Solve for x
    x = 347,396,434.91/20,215.83
  6. Step 6: Final answer
    x = 17,184.38

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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.