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Finding the Fourth Proportional to 27,969.60, 38,596.92 and 16,024.65

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Solution

The fourth proportional to 27,969.60, 38,596.92 and 16,024.65 is: 22,113.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,969.60 : 38,596.92 = 16,024.65 : x
  2. Step 2: Convert to fraction form
    27,969.60/38,596.92 = 16,024.65/x
  3. Step 3: Cross multiply
    27,969.60x = 38,596.92 × 16,024.65
  4. Step 4: Simplify right side
    27,969.60x = 618,502,134.08
  5. Step 5: Solve for x
    x = 618,502,134.08/27,969.60
  6. Step 6: Final answer
    x = 22,113.37

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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.