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Finding the Fourth Proportional to 14,676.76, 22,014.78 and 3,583.48

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Solution

The fourth proportional to 14,676.76, 22,014.78 and 3,583.48 is: 5,375.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,676.76 : 22,014.78 = 3,583.48 : x
  2. Step 2: Convert to fraction form
    14,676.76/22,014.78 = 3,583.48/x
  3. Step 3: Cross multiply
    14,676.76x = 22,014.78 × 3,583.48
  4. Step 4: Simplify right side
    14,676.76x = 78,889,523.83
  5. Step 5: Solve for x
    x = 78,889,523.83/14,676.76
  6. Step 6: Final answer
    x = 5,375.13

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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.