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Finding the Fourth Proportional to 19,898.26, 27,459 and 10,945.75

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Solution

The fourth proportional to 19,898.26, 27,459 and 10,945.75 is: 15,104.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,898.26 : 27,459 = 10,945.75 : x
  2. Step 2: Convert to fraction form
    19,898.26/27,459 = 10,945.75/x
  3. Step 3: Cross multiply
    19,898.26x = 27,459 × 10,945.75
  4. Step 4: Simplify right side
    19,898.26x = 300,559,216.25
  5. Step 5: Solve for x
    x = 300,559,216.25/19,898.26
  6. Step 6: Final answer
    x = 15,104.80

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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.