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Finding the Fourth Proportional to 18,825.96, 25,972.74 and 10,865.28

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Solution

The fourth proportional to 18,825.96, 25,972.74 and 10,865.28 is: 14,990.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,825.96 : 25,972.74 = 10,865.28 : x
  2. Step 2: Convert to fraction form
    18,825.96/25,972.74 = 10,865.28/x
  3. Step 3: Cross multiply
    18,825.96x = 25,972.74 × 10,865.28
  4. Step 4: Simplify right side
    18,825.96x = 282,201,092.47
  5. Step 5: Solve for x
    x = 282,201,092.47/18,825.96
  6. Step 6: Final answer
    x = 14,990.00

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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.