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Finding the Fourth Proportional to 12,204.51, 18,306.76 and 4,411.50

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Solution

The fourth proportional to 12,204.51, 18,306.76 and 4,411.50 is: 6,617.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,204.51 : 18,306.76 = 4,411.50 : x
  2. Step 2: Convert to fraction form
    12,204.51/18,306.76 = 4,411.50/x
  3. Step 3: Cross multiply
    12,204.51x = 18,306.76 × 4,411.50
  4. Step 4: Simplify right side
    12,204.51x = 80,760,200.33
  5. Step 5: Solve for x
    x = 80,760,200.33/12,204.51
  6. Step 6: Final answer
    x = 6,617.24

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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.