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Finding the Fourth Proportional to 12,230.67, 18,334.98 and 4,434

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Solution

The fourth proportional to 12,230.67, 18,334.98 and 4,434 is: 6,647.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,230.67 : 18,334.98 = 4,434 : x
  2. Step 2: Convert to fraction form
    12,230.67/18,334.98 = 4,434/x
  3. Step 3: Cross multiply
    12,230.67x = 18,334.98 × 4,434
  4. Step 4: Simplify right side
    12,230.67x = 81,297,301.32
  5. Step 5: Solve for x
    x = 81,297,301.32/12,230.67
  6. Step 6: Final answer
    x = 6,647.00

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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.