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Finding the Fourth Proportional to 27,965.30, 38,593.02 and 16,030.89

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Solution

The fourth proportional to 27,965.30, 38,593.02 and 16,030.89 is: 22,123.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,965.30 : 38,593.02 = 16,030.89 : x
  2. Step 2: Convert to fraction form
    27,965.30/38,593.02 = 16,030.89/x
  3. Step 3: Cross multiply
    27,965.30x = 38,593.02 × 16,030.89
  4. Step 4: Simplify right side
    27,965.30x = 618,680,458.39
  5. Step 5: Solve for x
    x = 618,680,458.39/27,965.30
  6. Step 6: Final answer
    x = 22,123.15

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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.