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Finding the Fourth Proportional to 12,267.57, 18,401.65 and 4,476.38

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Solution

The fourth proportional to 12,267.57, 18,401.65 and 4,476.38 is: 6,714.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,267.57 : 18,401.65 = 4,476.38 : x
  2. Step 2: Convert to fraction form
    12,267.57/18,401.65 = 4,476.38/x
  3. Step 3: Cross multiply
    12,267.57x = 18,401.65 × 4,476.38
  4. Step 4: Simplify right side
    12,267.57x = 82,372,686.02
  5. Step 5: Solve for x
    x = 82,372,686.02/12,267.57
  6. Step 6: Final answer
    x = 6,714.67

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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.