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Finding the Fourth Proportional to 14,945.76, 22,412.16 and 5,082.39

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Solution

The fourth proportional to 14,945.76, 22,412.16 and 5,082.39 is: 7,621.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,945.76 : 22,412.16 = 5,082.39 : x
  2. Step 2: Convert to fraction form
    14,945.76/22,412.16 = 5,082.39/x
  3. Step 3: Cross multiply
    14,945.76x = 22,412.16 × 5,082.39
  4. Step 4: Simplify right side
    14,945.76x = 113,907,337.86
  5. Step 5: Solve for x
    x = 113,907,337.86/14,945.76
  6. Step 6: Final answer
    x = 7,621.38

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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.