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Finding the Fourth Proportional to 14,986.81, 22,473.03 and 7,082.74

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Solution

The fourth proportional to 14,986.81, 22,473.03 and 7,082.74 is: 10,620.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,986.81 : 22,473.03 = 7,082.74 : x
  2. Step 2: Convert to fraction form
    14,986.81/22,473.03 = 7,082.74/x
  3. Step 3: Cross multiply
    14,986.81x = 22,473.03 × 7,082.74
  4. Step 4: Simplify right side
    14,986.81x = 159,170,628.50
  5. Step 5: Solve for x
    x = 159,170,628.50/14,986.81
  6. Step 6: Final answer
    x = 10,620.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.