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Finding the Fourth Proportional to 27,965.81, 38,594.50 and 16,029.92

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Solution

The fourth proportional to 27,965.81, 38,594.50 and 16,029.92 is: 22,122.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,965.81 : 38,594.50 = 16,029.92 : x
  2. Step 2: Convert to fraction form
    27,965.81/38,594.50 = 16,029.92/x
  3. Step 3: Cross multiply
    27,965.81x = 38,594.50 × 16,029.92
  4. Step 4: Simplify right side
    27,965.81x = 618,666,803.85
  5. Step 5: Solve for x
    x = 618,666,803.85/27,965.81
  6. Step 6: Final answer
    x = 22,122.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.