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Finding the Fourth Proportional to 12,373.36, 18,564.90 and 5,443

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Solution

The fourth proportional to 12,373.36, 18,564.90 and 5,443 is: 8,166.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,373.36 : 18,564.90 = 5,443 : x
  2. Step 2: Convert to fraction form
    12,373.36/18,564.90 = 5,443/x
  3. Step 3: Cross multiply
    12,373.36x = 18,564.90 × 5,443
  4. Step 4: Simplify right side
    12,373.36x = 101,048,750.70
  5. Step 5: Solve for x
    x = 101,048,750.70/12,373.36
  6. Step 6: Final answer
    x = 8,166.64

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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.