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Finding the Fourth Proportional to 20,896.65, 31,354.47 and 10,377.18

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Solution

The fourth proportional to 20,896.65, 31,354.47 and 10,377.18 is: 15,570.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,896.65 : 31,354.47 = 10,377.18 : x
  2. Step 2: Convert to fraction form
    20,896.65/31,354.47 = 10,377.18/x
  3. Step 3: Cross multiply
    20,896.65x = 31,354.47 × 10,377.18
  4. Step 4: Simplify right side
    20,896.65x = 325,370,978.99
  5. Step 5: Solve for x
    x = 325,370,978.99/20,896.65
  6. Step 6: Final answer
    x = 15,570.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.