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Finding the Fourth Proportional to 14,357.56, 19,813.26 and 8,071

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Solution

The fourth proportional to 14,357.56, 19,813.26 and 8,071 is: 11,137.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,357.56 : 19,813.26 = 8,071 : x
  2. Step 2: Convert to fraction form
    14,357.56/19,813.26 = 8,071/x
  3. Step 3: Cross multiply
    14,357.56x = 19,813.26 × 8,071
  4. Step 4: Simplify right side
    14,357.56x = 159,912,821.46
  5. Step 5: Solve for x
    x = 159,912,821.46/14,357.56
  6. Step 6: Final answer
    x = 11,137.88

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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.