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Finding the Fourth Proportional to 12,020.30, 16,595.73 and 7,777.88

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Solution

The fourth proportional to 12,020.30, 16,595.73 and 7,777.88 is: 10,738.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,020.30 : 16,595.73 = 7,777.88 : x
  2. Step 2: Convert to fraction form
    12,020.30/16,595.73 = 7,777.88/x
  3. Step 3: Cross multiply
    12,020.30x = 16,595.73 × 7,777.88
  4. Step 4: Simplify right side
    12,020.30x = 129,079,513.47
  5. Step 5: Solve for x
    x = 129,079,513.47/12,020.30
  6. Step 6: Final answer
    x = 10,738.46

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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.