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Finding the Fourth Proportional to 12,604.61, 18,882.32 and 7,661.99

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Solution

The fourth proportional to 12,604.61, 18,882.32 and 7,661.99 is: 11,478.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,604.61 : 18,882.32 = 7,661.99 : x
  2. Step 2: Convert to fraction form
    12,604.61/18,882.32 = 7,661.99/x
  3. Step 3: Cross multiply
    12,604.61x = 18,882.32 × 7,661.99
  4. Step 4: Simplify right side
    12,604.61x = 144,676,155.91
  5. Step 5: Solve for x
    x = 144,676,155.91/12,604.61
  6. Step 6: Final answer
    x = 11,478.03

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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.