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Finding the Fourth Proportional to 14,559, 20,091.44 and 7,935

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Solution

The fourth proportional to 14,559, 20,091.44 and 7,935 is: 10,950.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,559 : 20,091.44 = 7,935 : x
  2. Step 2: Convert to fraction form
    14,559/20,091.44 = 7,935/x
  3. Step 3: Cross multiply
    14,559x = 20,091.44 × 7,935
  4. Step 4: Simplify right side
    14,559x = 159,425,536.73
  5. Step 5: Solve for x
    x = 159,425,536.73/14,559
  6. Step 6: Final answer
    x = 10,950.31

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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.