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Finding the Fourth Proportional to 24,461.82, 36,674.78 and 7,812.27

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Solution

The fourth proportional to 24,461.82, 36,674.78 and 7,812.27 is: 11,712.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,461.82 : 36,674.78 = 7,812.27 : x
  2. Step 2: Convert to fraction form
    24,461.82/36,674.78 = 7,812.27/x
  3. Step 3: Cross multiply
    24,461.82x = 36,674.78 × 7,812.27
  4. Step 4: Simplify right side
    24,461.82x = 286,513,244.49
  5. Step 5: Solve for x
    x = 286,513,244.49/24,461.82
  6. Step 6: Final answer
    x = 11,712.67

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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.