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Finding the Fourth Proportional to 14,606.20, 20,156.56 and 7,891.82

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Solution

The fourth proportional to 14,606.20, 20,156.56 and 7,891.82 is: 10,890.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,606.20 : 20,156.56 = 7,891.82 : x
  2. Step 2: Convert to fraction form
    14,606.20/20,156.56 = 7,891.82/x
  3. Step 3: Cross multiply
    14,606.20x = 20,156.56 × 7,891.82
  4. Step 4: Simplify right side
    14,606.20x = 159,071,943.34
  5. Step 5: Solve for x
    x = 159,071,943.34/14,606.20
  6. Step 6: Final answer
    x = 10,890.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.