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Finding the Fourth Proportional to 12,307.68, 18,461.61 and 4,914

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Solution

The fourth proportional to 12,307.68, 18,461.61 and 4,914 is: 7,371.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,307.68 : 18,461.61 = 4,914 : x
  2. Step 2: Convert to fraction form
    12,307.68/18,461.61 = 4,914/x
  3. Step 3: Cross multiply
    12,307.68x = 18,461.61 × 4,914
  4. Step 4: Simplify right side
    12,307.68x = 90,720,351.54
  5. Step 5: Solve for x
    x = 90,720,351.54/12,307.68
  6. Step 6: Final answer
    x = 7,371.04

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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.