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Finding the Fourth Proportional to 12,205.54, 18,307.90 and 8,258.61

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Solution

The fourth proportional to 12,205.54, 18,307.90 and 8,258.61 is: 12,387.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.54 : 18,307.90 = 8,258.61 : x
  2. Step 2: Convert to fraction form
    12,205.54/18,307.90 = 8,258.61/x
  3. Step 3: Cross multiply
    12,205.54x = 18,307.90 × 8,258.61
  4. Step 4: Simplify right side
    12,205.54x = 151,197,806.02
  5. Step 5: Solve for x
    x = 151,197,806.02/12,205.54
  6. Step 6: Final answer
    x = 12,387.64

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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.