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Finding the Fourth Proportional to 12,201.80, 18,298.10 and 4,802.20

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Solution

The fourth proportional to 12,201.80, 18,298.10 and 4,802.20 is: 7,201.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201.80 : 18,298.10 = 4,802.20 : x
  2. Step 2: Convert to fraction form
    12,201.80/18,298.10 = 4,802.20/x
  3. Step 3: Cross multiply
    12,201.80x = 18,298.10 × 4,802.20
  4. Step 4: Simplify right side
    12,201.80x = 87,871,135.82
  5. Step 5: Solve for x
    x = 87,871,135.82/12,201.80
  6. Step 6: Final answer
    x = 7,201.49

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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.