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Finding the Fourth Proportional to 12,204.74, 18,294.54 and 4,806.20

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Solution

The fourth proportional to 12,204.74, 18,294.54 and 4,806.20 is: 7,204.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,204.74 : 18,294.54 = 4,806.20 : x
  2. Step 2: Convert to fraction form
    12,204.74/18,294.54 = 4,806.20/x
  3. Step 3: Cross multiply
    12,204.74x = 18,294.54 × 4,806.20
  4. Step 4: Simplify right side
    12,204.74x = 87,927,218.15
  5. Step 5: Solve for x
    x = 87,927,218.15/12,204.74
  6. Step 6: Final answer
    x = 7,204.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.