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Finding the Fourth Proportional to 20,896.65, 31,308.53 and 17,409.06

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Solution

The fourth proportional to 20,896.65, 31,308.53 and 17,409.06 is: 26,083.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,896.65 : 31,308.53 = 17,409.06 : x
  2. Step 2: Convert to fraction form
    20,896.65/31,308.53 = 17,409.06/x
  3. Step 3: Cross multiply
    20,896.65x = 31,308.53 × 17,409.06
  4. Step 4: Simplify right side
    20,896.65x = 545,051,990.24
  5. Step 5: Solve for x
    x = 545,051,990.24/20,896.65
  6. Step 6: Final answer
    x = 26,083.22

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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.