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Finding the Fourth Proportional to 27,559.77, 38,033.15 and 16,805.20

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Solution

The fourth proportional to 27,559.77, 38,033.15 and 16,805.20 is: 23,191.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,559.77 : 38,033.15 = 16,805.20 : x
  2. Step 2: Convert to fraction form
    27,559.77/38,033.15 = 16,805.20/x
  3. Step 3: Cross multiply
    27,559.77x = 38,033.15 × 16,805.20
  4. Step 4: Simplify right side
    27,559.77x = 639,154,639.31
  5. Step 5: Solve for x
    x = 639,154,639.31/27,559.77
  6. Step 6: Final answer
    x = 23,191.58

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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.