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Finding the Fourth Proportional to 28,826.38, 39,780.34 and 16,079.58

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Solution

The fourth proportional to 28,826.38, 39,780.34 and 16,079.58 is: 22,189.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,826.38 : 39,780.34 = 16,079.58 : x
  2. Step 2: Convert to fraction form
    28,826.38/39,780.34 = 16,079.58/x
  3. Step 3: Cross multiply
    28,826.38x = 39,780.34 × 16,079.58
  4. Step 4: Simplify right side
    28,826.38x = 639,651,159.46
  5. Step 5: Solve for x
    x = 639,651,159.46/28,826.38
  6. Step 6: Final answer
    x = 22,189.78

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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.