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Finding the Fourth Proportional to 18,039.78, 24,894.74 and 10,082.34

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Solution

The fourth proportional to 18,039.78, 24,894.74 and 10,082.34 is: 13,913.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,039.78 : 24,894.74 = 10,082.34 : x
  2. Step 2: Convert to fraction form
    18,039.78/24,894.74 = 10,082.34/x
  3. Step 3: Cross multiply
    18,039.78x = 24,894.74 × 10,082.34
  4. Step 4: Simplify right side
    18,039.78x = 250,997,258.10
  5. Step 5: Solve for x
    x = 250,997,258.10/18,039.78
  6. Step 6: Final answer
    x = 13,913.54

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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.