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Finding the Fourth Proportional to 20,603.81, 30,829.17 and 12,288.35

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Solution

The fourth proportional to 20,603.81, 30,829.17 and 12,288.35 is: 18,386.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,603.81 : 30,829.17 = 12,288.35 : x
  2. Step 2: Convert to fraction form
    20,603.81/30,829.17 = 12,288.35/x
  3. Step 3: Cross multiply
    20,603.81x = 30,829.17 × 12,288.35
  4. Step 4: Simplify right side
    20,603.81x = 378,839,569.73
  5. Step 5: Solve for x
    x = 378,839,569.73/20,603.81
  6. Step 6: Final answer
    x = 18,386.87

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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.