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Finding the Fourth Proportional to 12,208.01, 18,312.02 and 4,415

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Solution

The fourth proportional to 12,208.01, 18,312.02 and 4,415 is: 6,622.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,208.01 : 18,312.02 = 4,415 : x
  2. Step 2: Convert to fraction form
    12,208.01/18,312.02 = 4,415/x
  3. Step 3: Cross multiply
    12,208.01x = 18,312.02 × 4,415
  4. Step 4: Simplify right side
    12,208.01x = 80,847,546.23
  5. Step 5: Solve for x
    x = 80,847,546.23/12,208.01
  6. Step 6: Final answer
    x = 6,622.50

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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.