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Finding the Fourth Proportional to 12,377.66, 18,567.24 and 4,982.10

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Solution

The fourth proportional to 12,377.66, 18,567.24 and 4,982.10 is: 7,473.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,377.66 : 18,567.24 = 4,982.10 : x
  2. Step 2: Convert to fraction form
    12,377.66/18,567.24 = 4,982.10/x
  3. Step 3: Cross multiply
    12,377.66x = 18,567.24 × 4,982.10
  4. Step 4: Simplify right side
    12,377.66x = 92,503,846.40
  5. Step 5: Solve for x
    x = 92,503,846.40/12,377.66
  6. Step 6: Final answer
    x = 7,473.45

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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.