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Finding the Fourth Proportional to 18,639.95, 25,722.74 and 10,142.24

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Solution

The fourth proportional to 18,639.95, 25,722.74 and 10,142.24 is: 13,996.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,639.95 : 25,722.74 = 10,142.24 : x
  2. Step 2: Convert to fraction form
    18,639.95/25,722.74 = 10,142.24/x
  3. Step 3: Cross multiply
    18,639.95x = 25,722.74 × 10,142.24
  4. Step 4: Simplify right side
    18,639.95x = 260,886,099.28
  5. Step 5: Solve for x
    x = 260,886,099.28/18,639.95
  6. Step 6: Final answer
    x = 13,996.08

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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.